Greatest Common Factor of 359/907, 714/636, 926/233

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 359/907, 714/636, 926/233

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 359/907,714/636,926/233

Given fractions are 359/907,714/636,926/233

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 359,714,926

Greatest Common Factor of Numerators i.e. GCF of 359,714,926 is 1 .

LCM of Denominators means LCM of 907,636,233 as per the given fractions.

LCM of 907,636,233 is 134406516 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 359,714,926

GCF of Fractions 359/907,714/636,926/233 is 1/134406516

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

Greatest Common Factor of 359,714,926 By Matching Biggest Common Factor Method

Greatest Common Factor of 359,714,926 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 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Greatest Common Factor

We found the factors 359,714,926 . The biggest common factor number is the GCF number.
So the greatest common factor 359,714,926 is 1.

Lets's calculate LCM of 907,636,233

Given numbers has no common factors except 1. So, there LCM is their product i.e 134406516

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/134406516

Therefore, the GCF of Fractions 359/907,714/636,926/233 is 1/134406516

Least Common Multiple of 907,636,233 with GCF Formula

Least Common Multiple of 907,636,233 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 907,636,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(907,636,233) = 1

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

GCF(907,636,233) x common factors =1 x 1 = 1

LCM(907,636,233) = ( 907 × 636 × 233 ) / 1

LCM(907,636,233) = 134406516 / 1

LCM(907,636,233) = 134406516


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 359/907, 714/636, 926/233

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 359/907, 714/636, 926/233?

Answer: GCF of Numerators as per given numbers 359/907, 714/636, 926/233 is

GCF of Numerators i.e. for 359,714,926 is 1

LCM of denominators i.e. for 907,636,233 is 134406516.

Thus, GCF of Fractions is 1/134406516.Finally, GCF of Fractions for 359/907, 714/636, 926/233 is 1/134406516.