Greatest Common Factor of 2528/64, 9464/709

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2528/64, 9464/709

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 2528/64,9464/709

Given fractions are 2528/64,9464/709

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 2528,9464

Greatest Common Factor of Numerators i.e. GCF of 2528,9464 is 8 .

LCM of Denominators means LCM of 64,709 as per the given fractions.

LCM of 64,709 is 45376 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2528,9464

GCF of Fractions 2528/64,9464/709 is 8/45376

2 2528, 9464
2 1264, 4732
2 632, 2366
316, 1183

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 2528,9464 By Matching Biggest Common Factor Method

Greatest Common Factor of 2528,9464 By Matching Biggest Common Factor Method

Factors of 2528

List of positive integer factors of 2528 that divides 2528 without a remainder.

1,2,4,8,16,32,79,158,316,632,1264,2528

Factors of 9464

List of positive integer factors of 9464 that divides 9464 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,169,182,338,364,676,728,1183,1352,2366,4732,9464

Greatest Common Factor

We found the factors 2528,9464 . The biggest common factor number is the GCF number.
So the greatest common factor 2528,9464 is 8.

Lets's calculate LCM of 64,709

Given numbers has no common factors except 1. So, there LCM is their product i.e 45376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/45376

Therefore, the GCF of Fractions 2528/64,9464/709 is 8/45376

Least Common Multiple of 64,709 with GCF Formula

Least Common Multiple of 64,709 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 64,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,709) = 1

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

GCF(64,709) x common factors =1 x 1 = 1

LCM(64,709) = ( 64 × 709 ) / 1

LCM(64,709) = 45376 / 1

LCM(64,709) = 45376


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 2528/64, 9464/709

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 2528/64, 9464/709?

Answer: GCF of Numerators as per given numbers 2528/64, 9464/709 is

GCF of Numerators i.e. for 2528,9464 is 8

LCM of denominators i.e. for 64,709 is 45376.

Thus, GCF of Fractions is 8/45376.Finally, GCF of Fractions for 2528/64, 9464/709 is 8/45376.