Hcf and lcm of two numbers are 33 and 264
Asked by admin @ in Math viewed by 283 People
The HCF and LCM of two numbers are 33 and 264 respectively. When the first
number is completely divided by 2, the quotient is 33. Find the other number.
Answered by admin @
Hey Mate !
Here is your solution :
Given,
H.C.F = 33
L.C.M = 264
☆ When the first number is divided by 2,then quotient is 33 and remainder is 0.
Let , that number is x.
Using Euclid's Division Lemma ,
=> a = bq + r
=> x = 2 × 33 + 0
=> x = 66
So, one of the number is 66.
Let the another number is a.
Now,
We know that ,
=> H.C.F × L.C.M = Product of no.s
=> 33 × 264 = 66 × a
=> a = ( 33 × 264 ) ÷ 66
=> a = 132.
Hence , the other number is 132.
==============================
Hope it helps !! ^_^
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