Greatest Common Factor of 2478/689, 9724/722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2478/689, 9724/722

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 2478/689,9724/722

Given fractions are 2478/689,9724/722

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 2478,9724

Greatest Common Factor of Numerators i.e. GCF of 2478,9724 is 2 .

LCM of Denominators means LCM of 689,722 as per the given fractions.

LCM of 689,722 is 497458 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2478,9724

GCF of Fractions 2478/689,9724/722 is 2/497458

2 2478, 9724
1239, 4862

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

Greatest Common Factor of 2478,9724 By Matching Biggest Common Factor Method

Greatest Common Factor of 2478,9724 By Matching Biggest Common Factor Method

Factors of 2478

List of positive integer factors of 2478 that divides 2478 without a remainder.

1,2,3,6,7,14,21,42,59,118,177,354,413,826,1239,2478

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 2478,9724 . The biggest common factor number is the GCF number.
So the greatest common factor 2478,9724 is 2.

Lets's calculate LCM of 689,722

Given numbers has no common factors except 1. So, there LCM is their product i.e 497458

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/497458

Therefore, the GCF of Fractions 2478/689,9724/722 is 2/497458

Least Common Multiple of 689,722 with GCF Formula

Least Common Multiple of 689,722 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 689,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,722) = 1

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

GCF(689,722) x common factors =1 x 1 = 1

LCM(689,722) = ( 689 × 722 ) / 1

LCM(689,722) = 497458 / 1

LCM(689,722) = 497458


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 2478/689, 9724/722

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 2478/689, 9724/722?

Answer: GCF of Numerators as per given numbers 2478/689, 9724/722 is

GCF of Numerators i.e. for 2478,9724 is 2

LCM of denominators i.e. for 689,722 is 497458.

Thus, GCF of Fractions is 2/497458.Finally, GCF of Fractions for 2478/689, 9724/722 is 2/497458.