Relation between HCF and LCM

Q.

The HCF of two numbers is $16$ and their product is $3072$. Find their LCM

Q. Find the hcf of 592 and 252 and express it as a linear combination of them

Q. Can the product of THREE numbers be equal the product of LCM and HCF ?

Q. H.C.F and L.C.M of two numbers are 18 and 1782 respectively. If one of the number is 162, then find the other number.

1. 168
2. 198
3. 178
4. 218

Q.

Question 37
LCM of 10, 15 and 20 is

(A) 30
(B) 60
(C) 90
(D) 180

Q.

Product of two numbers is 2430. If their H.C.F is 9, find their L.C.M.

1. 270

2. 123

3. 56

4. 62

Q. If D is hcf of 88 and 56 then find x and y when D = 88x+56y

Q.

The lcm of two numbers is 2079

HCF is 27

If one of the number is 189 find the other number

Q.

The HCF of two numbers is 28 and their LCM is 336. If one of the number is 112. What is the other number?

Q.

Question 2 (a)

What is the HCF of two consecutive numbers?

Q.

Can two numbers have 16 as their HCF and 204 as their LCM?

Justify your answer

Q.

Question 150

Fill in the blank to make the statement true.
The HCF of two or more given numbers is the highest of their common ___.

Q.

37 students are standing in a row. Every 4th student is wearing a cap. Every 5th student is wearing a coat. Which student in the row will be wearing both a cap and a coat? [3 MARKS]

Q.

If c is the HCF of 'a' and 'b', then find the HCF of a/c and b/c .

Q. Using repeated division method find HCF of 455 and 26

1. None
2. 13
3. 17
4. 15

Q.

HCF of two numbers is 21 one of the numbers is 231, their LCM is 3003 what is the other number

Q.

If the HCF and LCM of two numbers are given as 5 and 100 and one of the numbers is 20. Then what is the other number?

1. 15
2. 10
3. 25
4. 20

Q. The H.C.F of two numbers is 145, their L.C.M is 2175. If one number is 725, find the other.

Q.

Factors of: $378$

Q. Can two numbers have 16 as their H.C.F and 380 as their L.C.M.? Give reason.

Q. If x and y are two co-primes, then their LCM is

(a) xy
(b) x+y
(c) $\frac{x}{y}$
(d) 1

Q. If hcf(432, 600) is written in form 432x+600y find x and y

Q. The H.C.F of two numbers is 16 and their product is 3072. Find their L.C.M.

Q.
The LCM and HCF of two numbers are 180 and 6 respectively. If one of the numbers is 30, find the other number.

Q. The product of two numbers is 2160 and their HCF is 12. Find their LCM.

Q.

Which of the following correctly represents the HCF and LCM of 4500 and 10584?

1. $HCF=2^2\times 3^2;LCM=2^3\times 3^3\times 5^3\times 7$

2. $HCF=2^3\times 3^2;LCM=2^3\times 3^2\times 5^2\times 7^3$

3. $HCF=2^2\times 3^2;LCM=2^3\times 3^3\times 5^3\times 7^2$

4. $HCF=2^3\times 3^2;LCM=2^3\times 3^2\times 5^3\times 7^3$

Q. The L.C.M and H.C.F of two numbers are 180 and 6 respectively. If ones of the numbers is 30, find the other number.

Q. Find the HCF of any two consecutive odd numbers.

Q. HCF of two numbers is a __________of their LCM.?

Q.

If two positive integers $p$ and $q$ can be expressed as $p=a{b}^2$ and $q=a^{3}b;a,b$ being prime numbers, then LCM $(p,q)$ is:

1. $ab$

2. $a^2{b}^2$

3. $a^3{b}^2$

4. $a^3{b}^3$