Greatest Common Factor of 5356/604, 6403/557

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5356/604, 6403/557

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 5356/604,6403/557

Given fractions are 5356/604,6403/557

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 5356,6403

Greatest Common Factor of Numerators i.e. GCF of 5356,6403 is 1 .

LCM of Denominators means LCM of 604,557 as per the given fractions.

LCM of 604,557 is 336428 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5356,6403

GCF of Fractions 5356/604,6403/557 is 1/336428

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

Greatest Common Factor of 5356,6403 By Matching Biggest Common Factor Method

Greatest Common Factor of 5356,6403 By Matching Biggest Common Factor Method

Factors of 5356

List of positive integer factors of 5356 that divides 5356 without a remainder.

1,2,4,13,26,52,103,206,412,1339,2678,5356

Factors of 6403

List of positive integer factors of 6403 that divides 6403 without a remainder.

1,19,337,6403

Greatest Common Factor

We found the factors 5356,6403 . The biggest common factor number is the GCF number.
So the greatest common factor 5356,6403 is 1.

Lets's calculate LCM of 604,557

Given numbers has no common factors except 1. So, there LCM is their product i.e 336428

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/336428

Therefore, the GCF of Fractions 5356/604,6403/557 is 1/336428

Least Common Multiple of 604,557 with GCF Formula

Least Common Multiple of 604,557 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 604,557 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,557) = 1

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

GCF(604,557) x common factors =1 x 1 = 1

LCM(604,557) = ( 604 × 557 ) / 1

LCM(604,557) = 336428 / 1

LCM(604,557) = 336428


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 5356/604, 6403/557

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 5356/604, 6403/557?

Answer: GCF of Numerators as per given numbers 5356/604, 6403/557 is

GCF of Numerators i.e. for 5356,6403 is 1

LCM of denominators i.e. for 604,557 is 336428.

Thus, GCF of Fractions is 1/336428.Finally, GCF of Fractions for 5356/604, 6403/557 is 1/336428.