If HCF of 144 and 180 is expressed in form 13m -3, Find the value of m
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Step-by-step explanation:
Given :-
HCF of 144 and 180 is expressed in form 13m -3
To find :-
Find the value of m ?
Solution:-
Given two numbers = 144 and 180
144 can be written as
144 = 2×2×2×2×3×3
180 = 2×2×3×3×5
HCF of 144 and 180
= 2×2×3×3
= 36
HCF (144,180) = 36---------------(1)
Given that
HCF of 144 and 180 is expressed in the form of 13m-3
HCF (144,180)= 13m -3 --------(2)
From (1)&(2)
13 m - 3 = 36
=> 13 m = 36 + 3
=> 13 m = 39
=> m = 39/13
=> m = 3
Therefore, m = 3
Answer:-
The value of m for the given problem is 3
Used formulae:-
- HCF is the highest Common factor of two or more numbers
- HCF is also called GCF or GCD
- Factor is also called divisor.
- GCF is called GCD.
- HCF is the product of the least power of each common factors of the given numbers
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