Solve These Questions(LCM&HCF)

LCM

1. Find the least number which when divided by 7, 9, and 11 leaves remainder 4.
   
2. Find the least number which when divided by 5, 8, and 12 leaves remainder 2.
   
3. Find the least number which when divided by 9, 12, and 15 leaves remainder 6.
   
4. Find the least number which when divided by 10, 14, and 18 leaves remainder 8.
   
5. Find the least number which when divided by 11, 13, and 17 leaves remainder 5.
   
6. Find the least number which when divided by 15, 20, and 25 leaves remainder 10.
   
7. Find the least number which when divided by 12, 18, and 24 leaves remainder 7

8. Find the smallest number which when divided by 8, 15, and 20 leaves remainders 5, 10, and 15.
   
9. Find the least number which when divided by 9, 12, and 15 leaves remainders 2, 5, and 8.
   
10. Find the smallest number which when divided by 7, 10, and 12 leaves remainders 3, 6, and 8.
    
11. Find the least number which when divided by 11, 14, and 17 leaves remainders 4, 7, and 10.
    
12. Find the smallest number which when divided by 13, 16, and 19 leaves remainders 5, 8, and 11.
    
13. Find the smallest number which when divided by 9, 18, and 21 leaves remainders 5, 14, and 17.
    

HCF

14. When 187, 319, and 391 are divided by a number, they leave a remainder 7. Find the greatest number.
    
15. When 246, 582, and 918 are divided by a number, they leave a remainder 6. Find the greatest number.
    
16. When 122, 382, and 646 are divided by a number, they leave a remainder 2. Find the greatest number.
    
17. When 308, 644, and 1000 are divided by a number, they leave a remainder 4. Find the greatest number.
    
18. When 420, 580, and 740 are divided by a number, they leave a remainder 20. Find the greatest number.
    
19. When 250, 420, and 550 are divided by a number, they leave a remainder 10. Find the greatest number.
    
20. When 735, 945, and 1245 are divided by a number, they leave a remainder 15. Find the greatest number.
    
21. When 612, 918, and 1224 are divided by a number, they leave a remainder 6. Find the greatest number.
    
22. When 850, 970, and 1090 are divided by a number, they leave a remainder 10. Find the greatest number.
    
23. When 605, 1001, and 1213 are divided by a number, they leave a remainder 1. Find the greatest number.
    
24. Three numbers 187, 319, and 391 leave the same remainder when divided by a certain number. Find the greatest number.
    
25. Three numbers 246, 582, and 918 leave the same remainder when divided by a certain number. Find the greatest number.
    
26. Three numbers 122, 382, and 646 leave the same remainder when divided by a certain number. Find the greatest number.
    
27. Three numbers 308, 644, and 1000 leave the same remainder when divided by a certain number. Find the greatest number.
    
28. Three numbers 420, 580, and 740 leave the same remainder when divided by a certain number. Find the greatest number.
    
29. Three numbers 250, 420, and 550 leave the same remainder when divided by a certain number. Find the greatest number.
    
30. Three numbers 735, 945, and 1245 leave the same remainder when divided by a certain number. Find the greatest number.
    
31. Three numbers 612, 918, and 1224 leave the same remainder when divided by a certain number. Find the greatest number.
    
32. Three numbers 850, 970, and 1090 leave the same remainder when divided by a certain number. Find the greatest number.
    
33. Three numbers 605, 1001, and 1213 leave the same remainder when divided by a certain number. Find the greatest number.
34. A number divides 125 and 142, leaving remainders 5 and 7 respectively. Find the number.
    
35. When a number divides 208 and 320, the remainders are 6 and 10 respectively. Find the number.
    
36. A number when dividing 234 and 318 leaves remainders 4 and 6. Find the number.
    
37. A number divides 415 and 529, leaving remainders 5 and 9. Find the number.
    
38. When 762 and 938 are divided by the same number, the remainders are 2 and 4. Find the number.
    
39. A number when dividing 1025 and 1139 leaves remainders 5 and 9. Find the number.
    
40. The divisor of 850 and 970 leaves different remainders 10 and 20. Find the number.