Greatest Common Factor of 359/656, 404/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 359/656, 404/924

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 359/656,404/924

Given fractions are 359/656,404/924

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 359,404

Greatest Common Factor of Numerators i.e. GCF of 359,404 is 1 .

LCM of Denominators means LCM of 656,924 as per the given fractions.

LCM of 656,924 is 151536 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 359,404

GCF of Fractions 359/656,404/924 is 1/151536

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

Greatest Common Factor of 359,404 By Matching Biggest Common Factor Method

Greatest Common Factor of 359,404 By Matching Biggest Common Factor Method

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Greatest Common Factor

We found the factors 359,404 . The biggest common factor number is the GCF number.
So the greatest common factor 359,404 is 1.

Lets's calculate LCM of 656,924

2 656, 924
2 328, 462
164, 231

∴ So the LCM of the given numbers is 2 x 2 x 164 x 231 = 151536

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/151536

Therefore, the GCF of Fractions 359/656,404/924 is 1/151536

Least Common Multiple of 656,924 with GCF Formula

Least Common Multiple of 656,924 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 656,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(656,924) = 4

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

GCF(656,924) x common factors =4 x 1 = 4

LCM(656,924) = ( 656 × 924 ) / 4

LCM(656,924) = 606144 / 4

LCM(656,924) = 151536


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 359/656, 404/924

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 359/656, 404/924?

Answer: GCF of Numerators as per given numbers 359/656, 404/924 is

GCF of Numerators i.e. for 359,404 is 1

LCM of denominators i.e. for 656,924 is 151536.

Thus, GCF of Fractions is 1/151536.Finally, GCF of Fractions for 359/656, 404/924 is 1/151536.