GCF of 137/659, 518/136
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 137/659, 518/136 i.e 1/89624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 137/659, 518/136.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 137/659,518/136?
Given fractions are 137/659,518/136
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 137/659,518/136, numerators are 137,518
Denominators are 659,136
The GCF of 137,518 is 1 .
LCM of 659,136 is 89624.
The greatest common factor of 137/659,518/136 = [GCF of 137,518]/[LCM of 659,136]= 1/89624
Therefore, the GCF of 137/659,518/136 is 1/89624.
To find the highest common factor of 137,518, we have to find the factors of both numbers and list the highest common factor.
The factors of 137 are 1, 137
The factors of 518 are 1, 2, 7, 14, 37, 74, 259, 518
The HCF of 137,518 is 1.
Lets's calculate GCF of 137,518
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 137,518 By Matching Biggest Common Factor Method
Now, list down the factors of 137
:1,137
Now, list down the factors of 518
:1,2,7,14,37,74,259,518
Greatest Common Factor
We found the factors 137,518 . The biggest common factor number is the GCF number.
So the greatest common factor 137,518 is 1.
Lets's calculate LCM of 659,136
Given numbers has no common factors except 1. So, there LCM is their product i.e 89624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89624
Therefore, the GCF of Fractions 137/659,518/136 is 1/89624
Least Common Multiple of 659,136 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 659,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(659,136) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(659,136) x common factors =1 x 1 = 1
LCM(659,136) = ( 659 × 136 ) / 1
LCM(659,136) = 89624 / 1
LCM(659,136) = 89624
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FAQs on GCF of Fractions of 137/659, 518/136
1. What is the HCF of 137,518?
The HCF of 137,518 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 137/659, 518/136?
Answer: GCF of Numerators as per given numbers 137/659, 518/136 is
GCF of Numerators i.e. for 137,518 is 1
LCM of denominators i.e. for 659,136 is 89624.
Thus, GCF of Fractions is 1/89624.Finally, GCF of Fractions for 137/659, 518/136 is 1/89624.