Himstates website is aspired to provide you competitive exams information, questions and answers ,formulas, Tricks, previous year questions etc. HCF and LCM is an important topic for competitive exams, entrance exams as well interviews.
So to benefit students formulas , questions and previous year questions on the topic of 'HCF and LCM' is given below,
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• 'HCF and LCM' important in which Competitive Exams ?
• Bank Competitive Exam
UPSC Competitive Exams
SSC Competitive Exams
Defense Competitive Exams
LIC or GIC  Exams
University Grants Commission or UGC
Common Aptitude Test or CAT
Career Aptitude Test
Railway Competitive Exam
MAT, GMAT, IBPS Exam, CSAT, CLAT

HCF and LCM aptitude questions are also important in state(Himachal Pradesh) competitive exams of HPPSC, HPSSSB, HPBoSE and many more exams of Banking as well as entrance exams etc.

### Formulas of Topic 'HCF and LCM'

• HCF - The Highest Common Factor of two or more than two numbers is the greatest number that divides each of them exactly.
• LCM - The least number which is exactly divisible by each one of the given numbers is called their Least Common Multiple.
• Factors and Multiples - If number x divided another number y ,x is a factor of y. and y is called a multiple of x.

### Questions on Topic 'HCF and LCM'

Q. 1. Two number's HCF is 23 and two factors of their LCM are 13 and 14. The larger of the two numbers is
A. 320
B. 322  (Ans)
C. 325
D. 318

Q. 2. Greatest number of 4 digits which is divisible by 25, 15, 75 and 40 is
A. 9200
B. 9400
C. 9800
D. 9600  (Ans)

Q. 3.  HCF of two numbers is 37 and product of these numbers is equal to 4107. Find greatest number among these two numbers.
A. 37
B. 111  (Ans)
C. 77
D. 91

Q. 4. LCM of three numbers is 2400 and numbers are in ratio of 3:4:5. Find HCF of these numbers.
A. 30
B. 50
C. 40  (Ans)
D. 60

Q. 5. HCF of two numbers : 11
LCM : 7700
if one number is 275 find other number ?
A. 275
B. 300
C. 305
D. 308  (Ans)

Q. 6. Least multiple of seven when divided by 6, 9, 15 and 18 leaves remainder as 4. The number is
A. 77
B. 371
C. 364  (Ans)
D. 84
Answer Question -7 to 11 in comment box
Q. 7.  84 can be expressed as a product of primes as
A. 2 x 2 x 3 x 8
B. 2 x 2 x 2 x 8
C. 2 x 3 x 3 x 8
D. 2 x 3 x 8 x 8

Q. 8. HCF of two numbers is 13 and product of two numbers is 2028 . The number of such pairs is
A. 3
B. 1
C. 2
D. 4

Q. 9. Find LCM of 40, 24 and 36
A. 320
B. 300
C. 310
D. 360

Q.10 Reduce 128352/238368 to its lowest terms
A. 13/7
B. 7/13
C. 1/7
D. 11/7
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Q. 11. What is HCF of 188, 288 and 360
A. 34
B. 38
C. 36
D. 40

Q. 12. HCF of two numbers is 13 and ratio of two numbers is 15:11. Find the numbers
A. 195 , 43  (Ans)
B. 195 , 41
C. 43 , 111
D. 199 , 40

Q. 13. Find the largest four digit number exactly divisible by 12, 15, 18 and 27
A. 9730
B. 9720  (Ans)
C. 9700
D. 9740

Q. 14. Find the largest number which divides 62, 132 and 237 to leave the same remainder in each case
A. 35  (Ans)
B. 36
C. 37
D. 38

Q. 15. Find greatest length which can used to mesure exactly the lengths 4m  95cm , 9m and 16m 65cm
A. 40cm
B. 42cm
C. 50cm
D. 45cm  (Ans)

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