Greatest Common Factor of 8879/784, 9724/3419

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8879/784, 9724/3419

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 8879/784,9724/3419

Given fractions are 8879/784,9724/3419

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 8879,9724

Greatest Common Factor of Numerators i.e. GCF of 8879,9724 is 13 .

LCM of Denominators means LCM of 784,3419 as per the given fractions.

LCM of 784,3419 is 2680496 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8879,9724

GCF of Fractions 8879/784,9724/3419 is 13/2680496

13 8879, 9724
683, 748

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 8879,9724 By Matching Biggest Common Factor Method

Greatest Common Factor of 8879,9724 By Matching Biggest Common Factor Method

Factors of 8879

List of positive integer factors of 8879 that divides 8879 without a remainder.

1,13,683,8879

Factors of 9724

List of positive integer factors of 9724 that divides 9724 without a remainder.

1,2,4,11,13,17,22,26,34,44,52,68,143,187,221,286,374,442,572,748,884,2431,4862,9724

Greatest Common Factor

We found the factors 8879,9724 . The biggest common factor number is the GCF number.
So the greatest common factor 8879,9724 is 13.

Lets's calculate LCM of 784,3419

Given numbers has no common factors except 1. So, there LCM is their product i.e 2680496

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/2680496

Therefore, the GCF of Fractions 8879/784,9724/3419 is 13/2680496

Least Common Multiple of 784,3419 with GCF Formula

Least Common Multiple of 784,3419 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 784,3419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(784,3419) = 1

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

GCF(784,3419) x common factors =1 x 1 = 1

LCM(784,3419) = ( 784 × 3419 ) / 1

LCM(784,3419) = 2680496 / 1

LCM(784,3419) = 2680496


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 8879/784, 9724/3419

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 8879/784, 9724/3419?

Answer: GCF of Numerators as per given numbers 8879/784, 9724/3419 is

GCF of Numerators i.e. for 8879,9724 is 13

LCM of denominators i.e. for 784,3419 is 2680496.

Thus, GCF of Fractions is 13/2680496.Finally, GCF of Fractions for 8879/784, 9724/3419 is 13/2680496.