Greatest Common Factor of 635/529, 118/385, 631/154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 635/529, 118/385, 631/154

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 635/529,118/385,631/154

Given fractions are 635/529,118/385,631/154

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 635,118,631

Greatest Common Factor of Numerators i.e. GCF of 635,118,631 is 1 .

LCM of Denominators means LCM of 529,385,154 as per the given fractions.

LCM of 529,385,154 is 407330 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 635,118,631

GCF of Fractions 635/529,118/385,631/154 is 1/407330

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

Greatest Common Factor of 635,118,631 By Matching Biggest Common Factor Method

Greatest Common Factor of 635,118,631 By Matching Biggest Common Factor Method

Factors of 635

List of positive integer factors of 635 that divides 635 without a remainder.

1,5,127,635

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Factors of 631

List of positive integer factors of 631 that divides 631 without a remainder.

1,631

Greatest Common Factor

We found the factors 635,118,631 . The biggest common factor number is the GCF number.
So the greatest common factor 635,118,631 is 1.

Lets's calculate LCM of 529,385,154

7 529, 385, 154
11 529, 55, 22
529, 5, 2

∴ So the LCM of the given numbers is 7 x 11 x 529 x 5 x 2 = 407330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/407330

Therefore, the GCF of Fractions 635/529,118/385,631/154 is 1/407330

Least Common Multiple of 529,385,154 with GCF Formula

Least Common Multiple of 529,385,154 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 529,385,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(529,385,154) = 1

common factors(in case of two or more numbers have common factors) = 77

GCF(529,385,154) x common factors =1 x 77 = 77

LCM(529,385,154) = ( 529 × 385 × 154 ) / 77

LCM(529,385,154) = 31364410 / 77

LCM(529,385,154) = 407330


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 635/529, 118/385, 631/154

1. 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.

2. What is the GCF of Fractions for 635/529, 118/385, 631/154?

Answer: GCF of Numerators as per given numbers 635/529, 118/385, 631/154 is

GCF of Numerators i.e. for 635,118,631 is 1

LCM of denominators i.e. for 529,385,154 is 407330.

Thus, GCF of Fractions is 1/407330.Finally, GCF of Fractions for 635/529, 118/385, 631/154 is 1/407330.