LCM and HCF
 The HCF and product of two numbers are 15 and 6300 respectively. The number of possible pairs of the numbers is

View Hint View Answer Discuss in Forum
Here , HCF = 15
Let the number be 15p and 15q, where p and q are co – prime.
With the help of the given formula ,
HCF × LCM = Product of two numbers
∴ 15p × 15q = 6300⇒ pq = 6300 = 28 15 × 15
Correct Option: C
Here , HCF = 15
Let the number be 15p and 15q, where p and q are co – prime.
With the help of the given formula ,
HCF × LCM = Product of two numbers
∴ 15p × 15q = 6300⇒ pq = 6300 = 28 15 × 15
So, two pairs are ( 7 , 4 ) and ( 14 , 2 ) .
Hence , required answer is 2.
 The HCF and LCM of two numbers are 18 and 378 respectively. If one of the number is 54, then the other number is

View Hint View Answer Discuss in Forum
Given , LCM = 378 , HCF = 18 , First number = 54 , Second number = ?
As We know that ,Second number = HCF × LCM First number
Correct Option: A
Given , LCM = 378 , HCF = 18 , First number = 54 , Second number = ?
As We know that ,Second number = HCF × LCM First number Second number = 18 × 378 = 126 54
 The product of two numbers is 216. If the HCF is 6, then their LCM is

View Hint View Answer Discuss in Forum
Let the numbers be 6p and 6q where p and q are prime to each other.
∴ 6p × 6q = 216⇒ pq = 216 = 6 6 × 6
Correct Option: D
Let the numbers be 6p and 6q where p and q are prime to each other.
∴ 6p × 6q = 216⇒ pq = 216 = 6 6 × 6
∴ LCM = 6pq = 6 × 6 = 36
 The H.C.F and L.C.M of two numbers are 12 and 336 respectively. If one of the number is 84, the other is

View Hint View Answer Discuss in Forum
Here , LCM = 336 , HCF = 12 , First number = 84, Second number = ?
We can find other number with the help of the given formula ,
First number × second number = HCF × LCM
⇒ 84 × second number = 12 × 336Correct Option: B
Here , LCM = 336 , HCF = 12 , First number = 84, Second number = ?
We can find other number with the help of the given formula ,
First number × second number = HCF × LCM
⇒ 84 × second number = 12 × 336∴ Second number = 12 × 336 = 48 84
 The H.C.F. and L.C.M. of two numbers are 8 and 48 respectively. If one of the number is 24, then the other number is

View Hint View Answer Discuss in Forum
Here , LCM = 48 , HCF = 8 , First number = 24 , Second number = ?
As We know that ,
First number × second number = HCF × LCM
⇒ 24 × second number = 8 × 48∴ Second number = 8 × 48 24 Correct Option: D
Here , LCM = 48 , HCF = 8 , First number = 24 , Second number = ?
As We know that ,
First number × second number = HCF × LCM
⇒ 24 × second number = 8 × 48∴ Second number = 8 × 48 = 16 24