Greatest Common Factor of 1047/679, 9342/5299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1047/679, 9342/5299

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 1047/679,9342/5299

Given fractions are 1047/679,9342/5299

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 1047,9342

Greatest Common Factor of Numerators i.e. GCF of 1047,9342 is 3 .

LCM of Denominators means LCM of 679,5299 as per the given fractions.

LCM of 679,5299 is 514003 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1047,9342

GCF of Fractions 1047/679,9342/5299 is 3/514003

3 1047, 9342
349, 3114

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1047,9342 By Matching Biggest Common Factor Method

Greatest Common Factor of 1047,9342 By Matching Biggest Common Factor Method

Factors of 1047

List of positive integer factors of 1047 that divides 1047 without a remainder.

1,3,349,1047

Factors of 9342

List of positive integer factors of 9342 that divides 9342 without a remainder.

1,2,3,6,9,18,27,54,173,346,519,1038,1557,3114,4671,9342

Greatest Common Factor

We found the factors 1047,9342 . The biggest common factor number is the GCF number.
So the greatest common factor 1047,9342 is 3.

Lets's calculate LCM of 679,5299

7 679, 5299
97, 757

∴ So the LCM of the given numbers is 7 x 97 x 757 = 514003

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/514003

Therefore, the GCF of Fractions 1047/679,9342/5299 is 3/514003

Least Common Multiple of 679,5299 with GCF Formula

Least Common Multiple of 679,5299 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 679,5299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(679,5299) = 7

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

GCF(679,5299) x common factors =7 x 1 = 7

LCM(679,5299) = ( 679 × 5299 ) / 7

LCM(679,5299) = 3598021 / 7

LCM(679,5299) = 514003


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 1047/679, 9342/5299

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 1047/679, 9342/5299?

Answer: GCF of Numerators as per given numbers 1047/679, 9342/5299 is

GCF of Numerators i.e. for 1047,9342 is 3

LCM of denominators i.e. for 679,5299 is 514003.

Thus, GCF of Fractions is 3/514003.Finally, GCF of Fractions for 1047/679, 9342/5299 is 3/514003.