Greatest Common Factor of 781/13, 978/724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 781/13, 978/724

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 781/13,978/724

Given fractions are 781/13,978/724

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 781,978

Greatest Common Factor of Numerators i.e. GCF of 781,978 is 1 .

LCM of Denominators means LCM of 13,724 as per the given fractions.

LCM of 13,724 is 9412 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 781,978

GCF of Fractions 781/13,978/724 is 1/9412

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

Greatest Common Factor of 781,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 781,978 By Matching Biggest Common Factor Method

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Greatest Common Factor

We found the factors 781,978 . The biggest common factor number is the GCF number.
So the greatest common factor 781,978 is 1.

Lets's calculate LCM of 13,724

Given numbers has no common factors except 1. So, there LCM is their product i.e 9412

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9412

Therefore, the GCF of Fractions 781/13,978/724 is 1/9412

Least Common Multiple of 13,724 with GCF Formula

Least Common Multiple of 13,724 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 13,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,724) = 1

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

GCF(13,724) x common factors =1 x 1 = 1

LCM(13,724) = ( 13 × 724 ) / 1

LCM(13,724) = 9412 / 1

LCM(13,724) = 9412


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 781/13, 978/724

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 781/13, 978/724?

Answer: GCF of Numerators as per given numbers 781/13, 978/724 is

GCF of Numerators i.e. for 781,978 is 1

LCM of denominators i.e. for 13,724 is 9412.

Thus, GCF of Fractions is 1/9412.Finally, GCF of Fractions for 781/13, 978/724 is 1/9412.