Greatest Common Factor of 364/653, 589/286, 635/504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 364/653, 589/286, 635/504

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 364/653,589/286,635/504

Given fractions are 364/653,589/286,635/504

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 364,589,635

Greatest Common Factor of Numerators i.e. GCF of 364,589,635 is 1 .

LCM of Denominators means LCM of 653,286,504 as per the given fractions.

LCM of 653,286,504 is 47063016 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 364,589,635

GCF of Fractions 364/653,589/286,635/504 is 1/47063016

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

Greatest Common Factor of 364,589,635 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,589,635 By Matching Biggest Common Factor Method

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Factors of 635

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

1,5,127,635

Greatest Common Factor

We found the factors 364,589,635 . The biggest common factor number is the GCF number.
So the greatest common factor 364,589,635 is 1.

Lets's calculate LCM of 653,286,504

2 653, 286, 504
653, 143, 252

∴ So the LCM of the given numbers is 2 x 653 x 143 x 252 = 47063016

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47063016

Therefore, the GCF of Fractions 364/653,589/286,635/504 is 1/47063016

Least Common Multiple of 653,286,504 with GCF Formula

Least Common Multiple of 653,286,504 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 653,286,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(653,286,504) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(653,286,504) x common factors =1 x 2 = 2

LCM(653,286,504) = ( 653 × 286 × 504 ) / 2

LCM(653,286,504) = 94126032 / 2

LCM(653,286,504) = 47063016


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 364/653, 589/286, 635/504

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 364/653, 589/286, 635/504?

Answer: GCF of Numerators as per given numbers 364/653, 589/286, 635/504 is

GCF of Numerators i.e. for 364,589,635 is 1

LCM of denominators i.e. for 653,286,504 is 47063016.

Thus, GCF of Fractions is 1/47063016.Finally, GCF of Fractions for 364/653, 589/286, 635/504 is 1/47063016.