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GCF of 637/659, 179/312

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 637/659, 179/312 i.e 1/205608 easily. The following is the detailed procedure to determine the greatest common factor of fractions 637/659, 179/312.

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 637/659,179/312?

Given fractions are 637/659,179/312

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 637/659,179/312, numerators are 637,179

Denominators are 659,312

The GCF of 637,179 is 1 .

LCM of 659,312 is 205608.

The greatest common factor of 637/659,179/312 = [GCF of 637,179]/[LCM of 659,312]= 1/205608

Therefore, the GCF of 637/659,179/312 is 1/205608.

Greatest Common Factor of 637,179

To find the highest common factor of 637,179, we have to find the factors of both numbers and list the highest common factor.

The factors of 637 are 1, 7, 13, 49, 91, 637

The factors of 179 are 1, 179

The HCF of 637,179 is 1.

Lets's calculate GCF of 637,179

Greatest Common Factor (GCF) of 637,179 By Common Division

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

Greatest Common Factor of 637,179 By Matching Biggest Common Factor Method

Greatest Common Factor of 637,179 By Matching Biggest Common Factor Method

Now, list down the factors of 637

:

1,7,13,49,91,637

Now, list down the factors of 179

:

1,179

Greatest Common Factor

We found the factors 637,179 . The biggest common factor number is the GCF number.
So the greatest common factor 637,179 is 1.

Lets's calculate LCM of 659,312

Lowest Common Multiple of 659,312 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 205608

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/205608

Therefore, the GCF of Fractions 637/659,179/312 is 1/205608

Least Common Multiple of 659,312 with GCF Formula

Least Common Multiple of 659,312 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 659,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(659,312) = 1

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

GCF(659,312) x common factors =1 x 1 = 1

LCM(659,312) = ( 659 × 312 ) / 1

LCM(659,312) = 205608 / 1

LCM(659,312) = 205608


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FAQs on GCF of Fractions of 637/659, 179/312

1. What is the HCF of 637,179?

The HCF of 637,179 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 637/659, 179/312?

Answer: GCF of Numerators as per given numbers 637/659, 179/312 is

GCF of Numerators i.e. for 637,179 is 1

LCM of denominators i.e. for 659,312 is 205608.

Thus, GCF of Fractions is 1/205608.Finally, GCF of Fractions for 637/659, 179/312 is 1/205608.