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GCF of 137/14, 517/557

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 137/14, 517/557 i.e 1/7798 easily. The following is the detailed procedure to determine the greatest common factor of fractions 137/14, 517/557.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 137/14,517/557?

Given fractions are 137/14,517/557

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 137/14,517/557, numerators are 137,517

Denominators are 14,557

The GCF of 137,517 is 1 .

LCM of 14,557 is 7798.

The greatest common factor of 137/14,517/557 = [GCF of 137,517]/[LCM of 14,557]= 1/7798

Therefore, the GCF of 137/14,517/557 is 1/7798.

Greatest Common Factor of 137,517

To find the highest common factor of 137,517, 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 517 are 1, 11, 47, 517

The HCF of 137,517 is 1.

Lets's calculate GCF of 137,517

Greatest Common Factor (GCF) of 137,517 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 137,517 By Matching Biggest Common Factor Method

Greatest Common Factor of 137,517 By Matching Biggest Common Factor Method

Now, list down the factors of 137

:

1,137

Now, list down the factors of 517

:

1,11,47,517

Greatest Common Factor

We found the factors 137,517 . The biggest common factor number is the GCF number.
So the greatest common factor 137,517 is 1.

Lets's calculate LCM of 14,557

Lowest Common Multiple of 14,557 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7798

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7798

Therefore, the GCF of Fractions 137/14,517/557 is 1/7798

Least Common Multiple of 14,557 with GCF Formula

Least Common Multiple of 14,557 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 14,557 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,557) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(14,557) x common factors =1 x 1 = 1

LCM(14,557) = ( 14 × 557 ) / 1

LCM(14,557) = 7798 / 1

LCM(14,557) = 7798


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FAQs on GCF of Fractions of 137/14, 517/557

1. What is the HCF of 137,517?

The HCF of 137,517 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 137/14, 517/557?

Answer: GCF of Numerators as per given numbers 137/14, 517/557 is

GCF of Numerators i.e. for 137,517 is 1

LCM of denominators i.e. for 14,557 is 7798.

Thus, GCF of Fractions is 1/7798.Finally, GCF of Fractions for 137/14, 517/557 is 1/7798.