Greatest Common Factor of 5356/664, 3009/6253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5356/664, 3009/6253

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 5356/664,3009/6253

Given fractions are 5356/664,3009/6253

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 5356,3009

Greatest Common Factor of Numerators i.e. GCF of 5356,3009 is 1 .

LCM of Denominators means LCM of 664,6253 as per the given fractions.

LCM of 664,6253 is 4151992 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5356,3009

GCF of Fractions 5356/664,3009/6253 is 1/4151992

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

Greatest Common Factor of 5356,3009 By Matching Biggest Common Factor Method

Greatest Common Factor of 5356,3009 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 3009

List of positive integer factors of 3009 that divides 3009 without a remainder.

1,3,17,51,59,177,1003,3009

Greatest Common Factor

We found the factors 5356,3009 . The biggest common factor number is the GCF number.
So the greatest common factor 5356,3009 is 1.

Lets's calculate LCM of 664,6253

Given numbers has no common factors except 1. So, there LCM is their product i.e 4151992

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4151992

Therefore, the GCF of Fractions 5356/664,3009/6253 is 1/4151992

Least Common Multiple of 664,6253 with GCF Formula

Least Common Multiple of 664,6253 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 664,6253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(664,6253) = 1

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

GCF(664,6253) x common factors =1 x 1 = 1

LCM(664,6253) = ( 664 × 6253 ) / 1

LCM(664,6253) = 4151992 / 1

LCM(664,6253) = 4151992


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 5356/664, 3009/6253

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 5356/664, 3009/6253?

Answer: GCF of Numerators as per given numbers 5356/664, 3009/6253 is

GCF of Numerators i.e. for 5356,3009 is 1

LCM of denominators i.e. for 664,6253 is 4151992.

Thus, GCF of Fractions is 1/4151992.Finally, GCF of Fractions for 5356/664, 3009/6253 is 1/4151992.