Discussion
Home ‣ Aptitude ‣ Problems on H.C.F and L.C.M Comments
- Question
- Product of two coprime numbers is 117. Then, their LCM is
Options- A. 9
- B. 13
- C. 39
- D. 117
- Correct Answer
- 117
ExplanationLCM of two coprimes is equal to their product.
- 1. Find the HCF of 1/2, 3/4, and 4/5?
Options- A. 1/20
- B. 1/40
- C. 20
- D. 15 Discuss
- 2. Find the HCF of 4/5 and 7/15?
Options- A. 1/13
- B. 1/5
- C. 1/15
- D. 1/25 Discuss
- 3. Find the HCF of 132, 204 and 228.
Options- A. 12
- B. 18
- C. 6
- D. 21 Discuss
- 4. Consider the number between 300 and 400 which when divided by 12, 18 and 36 leaves 4 as remainder in each case. what is the sum of the number?
Options- A. 840
- B. 692
- C. 324
- D. 1024 Discuss
- 5. What is the greatest number which divides 390, 480 and 620 so as to leave the same remainder in each case?
Options- A. 15
- B. 10
- C. 20
- D. 19 Discuss
- 6. The LCM of two numbers is 2376 while their HCF is 33. If one of the number is 297, then the other number is
Options- A. 216
- B. 264
- C. 642
- D. 792 Discuss
- 7. The HCF and LCM of two numbers are 13 and 1989, respectively. If one of the numbers is 117, then determine the other
Options- A. 121
- B. 131
- C. 221
- D. 231 Discuss
- 8. Three numbers are in the ratio of 3 : 4 : 5 and their LCM is 1200. Find the HCF of the numbers?
Options- A. 40
- B. 30
- C. 80
- D. 20 Discuss
- 9. Four numbers are in the ratio of 10 : 12 : 15 : 18. If their HCF is 3, then find their LCM.
Options- A. 420
- B. 540
- C. 620
- D. 680 Discuss
- 10. If the HCF of a and b are 12 and a, b are positive integers and a > b > 12, then what will be the values of a and b?
Options- A. 12, 24
- B. 24, 12
- C. 24, 36
- D. 36, 24 Discuss
Problems on H.C.F and L.C.M
Search Results
Correct Answer: 1/20
Explanation:
Required HCF = (HCF of numerators) / (LCM of denominators)
= (HCF of 1, 3 and 4) / (LCM of 2, 4, and 5)
= 1/20
Correct Answer: 1/15
Explanation:
We know that,
HCF of fractions = (HCF of numerators) / (LCM of denominators)
? Required HCF = (HCF of 4 and 7) / (LCM of 5 and 15)
=1/15
Correct Answer: 12
Explanation:
132 = 2 x 2 x 3 x 11
240 = 2 x 2 x 2 x 2 x 3 x 5
228 = 2 x 2 x 3 x 19
Hence, HCF of 132, 204 and 228 = 2 x 2 x 3 = 12
Correct Answer: 692
Explanation:
LCM of (12,18, 36) = 36
? A number greater than 300 on dividing by 36 leaves a remainder 4 = (36 x 9) + 4 = 328
Next numbe r = 328 + 36 = 364
? Sum of number = 328 + 364 = 692
Correct Answer: 10
Explanation:
The HCF of [(480 - 390), (620 - 480), (620 - 390)]
= HCF of 90, 140, 230 = 10
Correct Answer: 264
Explanation:
Given, LCM of two number = 2376
HCF of two number = 33
One of the number = 297
? (HCF of two numbers) x (LCM of two numbers) = (First number) x (Second number)
? Second number = (33 x 2376)/297
= 264
Correct Answer: 221
Explanation:
Given,
LCM = 1989, HCF = 13
1st number = 117 and
2nd number = ?
According to the formula,
Product of LCM and HCF = Product of two numbers
? 1989 x 13 = 117 x ?
? = (1989 x 13)/117
? = 221
Correct Answer: 20
Explanation:
Let the numbers are 3N, 4N and 5N.
Where, N = HCF
Then, LCM = 60N
According to the question,
60N = 1200
? N = 20
Correct Answer: 540
Explanation:
Let numbers be 10N, 12N, 15N and 18N.
Then, LCM = 180N and HCF = N
Hence, required LCM = 180 x 3 = 540
Correct Answer: 36, 24
Explanation:
By Hit and Trial
From option (d), we can say that the HCF of 36 and 24 is 12 and it is also satisfies the given condition
a > b > 12
? a = 36 and b = 24
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