Greatest Common Factor of 9754/679, 1567/843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9754/679, 1567/843

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 9754/679,1567/843

Given fractions are 9754/679,1567/843

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 9754,1567

Greatest Common Factor of Numerators i.e. GCF of 9754,1567 is 1 .

LCM of Denominators means LCM of 679,843 as per the given fractions.

LCM of 679,843 is 572397 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9754,1567

GCF of Fractions 9754/679,1567/843 is 1/572397

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

Greatest Common Factor of 9754,1567 By Matching Biggest Common Factor Method

Greatest Common Factor of 9754,1567 By Matching Biggest Common Factor Method

Factors of 9754

List of positive integer factors of 9754 that divides 9754 without a remainder.

1,2,4877,9754

Factors of 1567

List of positive integer factors of 1567 that divides 1567 without a remainder.

1,1567

Greatest Common Factor

We found the factors 9754,1567 . The biggest common factor number is the GCF number.
So the greatest common factor 9754,1567 is 1.

Lets's calculate LCM of 679,843

Given numbers has no common factors except 1. So, there LCM is their product i.e 572397

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/572397

Therefore, the GCF of Fractions 9754/679,1567/843 is 1/572397

Least Common Multiple of 679,843 with GCF Formula

Least Common Multiple of 679,843 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 679,843 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(679,843) = 1

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

GCF(679,843) x common factors =1 x 1 = 1

LCM(679,843) = ( 679 × 843 ) / 1

LCM(679,843) = 572397 / 1

LCM(679,843) = 572397


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 9754/679, 1567/843

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 9754/679, 1567/843?

Answer: GCF of Numerators as per given numbers 9754/679, 1567/843 is

GCF of Numerators i.e. for 9754,1567 is 1

LCM of denominators i.e. for 679,843 is 572397.

Thus, GCF of Fractions is 1/572397.Finally, GCF of Fractions for 9754/679, 1567/843 is 1/572397.