Greatest Common Factor of 2564/307, 9608/4968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2564/307, 9608/4968

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 2564/307,9608/4968

Given fractions are 2564/307,9608/4968

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 2564,9608

Greatest Common Factor of Numerators i.e. GCF of 2564,9608 is 4 .

LCM of Denominators means LCM of 307,4968 as per the given fractions.

LCM of 307,4968 is 1525176 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2564,9608

GCF of Fractions 2564/307,9608/4968 is 4/1525176

2 2564, 9608
2 1282, 4804
641, 2402

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 2564,9608 By Matching Biggest Common Factor Method

Greatest Common Factor of 2564,9608 By Matching Biggest Common Factor Method

Factors of 2564

List of positive integer factors of 2564 that divides 2564 without a remainder.

1,2,4,641,1282,2564

Factors of 9608

List of positive integer factors of 9608 that divides 9608 without a remainder.

1,2,4,8,1201,2402,4804,9608

Greatest Common Factor

We found the factors 2564,9608 . The biggest common factor number is the GCF number.
So the greatest common factor 2564,9608 is 4.

Lets's calculate LCM of 307,4968

Given numbers has no common factors except 1. So, there LCM is their product i.e 1525176

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1525176

Therefore, the GCF of Fractions 2564/307,9608/4968 is 4/1525176

Least Common Multiple of 307,4968 with GCF Formula

Least Common Multiple of 307,4968 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 307,4968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(307,4968) = 1

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

GCF(307,4968) x common factors =1 x 1 = 1

LCM(307,4968) = ( 307 × 4968 ) / 1

LCM(307,4968) = 1525176 / 1

LCM(307,4968) = 1525176


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 2564/307, 9608/4968

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 2564/307, 9608/4968?

Answer: GCF of Numerators as per given numbers 2564/307, 9608/4968 is

GCF of Numerators i.e. for 2564,9608 is 4

LCM of denominators i.e. for 307,4968 is 1525176.

Thus, GCF of Fractions is 4/1525176.Finally, GCF of Fractions for 2564/307, 9608/4968 is 4/1525176.