HCF and LCM Questions with Answers for Competitive Exam

HCF and LCM Aptitude Questions

21. Find the HCF of 54, 288, 360
(A) 18
(B) 36
(C) 54
(D) 108

 
 
22. Reduce 803876 to the lowest terms.
(A) 1112
(B) 2324
(C) 2627
(D) 47


 
 
23. Find the LCM of 23,46,827
(A) 827
(B) 227
(C) 83
(D) 23
827


 
 
24. What is the least number which when divided by 8, 12, 15 and 20 leaves in each case a remainder of 5 ?
A. 125
B. 117
C. 132
D. 112


 
 
25. The ratio of two numbers is 4 : 5. If the HCF of these numbers is 6, what is their LCM?
A. 30
B. 60
C. 90
D. 120


 
 
26. The product of two 2 digit numbers is 2028 and their HCF is 13. What are the numbers ?
A. 26, 78
B. 39, 52
C. 13, 156
D. 36, 68


 
 
27. What is the least number which when doubled will be exactly divisible by 12, 14, 18 and 22 ?
A. 1286
B. 1436
C. 1216
D. 1386


 
 
28. 504 can be expressed as a product of primes as
A. 2 × 2 × 3 × 3 × 7 × 7    
B. 2 × 3 × 3 × 3 × 7 × 7
C. 2 × 3 × 3 × 3 × 3 × 7
D. 2 × 2 × 2 × 3 × 3 × 7


 
 
29. What is the lowest common multiple of 12, 36 and 20?
A. 160
B. 220
C. 120
D. 180


 
 
30. What is the least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder?
A. 1108
B. 1683
C. 2007
D. 3363