Greatest Common Factor of 5470/892, 2430/703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5470/892, 2430/703

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 5470/892,2430/703

Given fractions are 5470/892,2430/703

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 5470,2430

Greatest Common Factor of Numerators i.e. GCF of 5470,2430 is 10 .

LCM of Denominators means LCM of 892,703 as per the given fractions.

LCM of 892,703 is 627076 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5470,2430

GCF of Fractions 5470/892,2430/703 is 10/627076

2 5470, 2430
5 2735, 1215
547, 243

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 5470,2430 By Matching Biggest Common Factor Method

Greatest Common Factor of 5470,2430 By Matching Biggest Common Factor Method

Factors of 5470

List of positive integer factors of 5470 that divides 5470 without a remainder.

1,2,5,10,547,1094,2735,5470

Factors of 2430

List of positive integer factors of 2430 that divides 2430 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,243,270,405,486,810,1215,2430

Greatest Common Factor

We found the factors 5470,2430 . The biggest common factor number is the GCF number.
So the greatest common factor 5470,2430 is 10.

Lets's calculate LCM of 892,703

Given numbers has no common factors except 1. So, there LCM is their product i.e 627076

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/627076

Therefore, the GCF of Fractions 5470/892,2430/703 is 10/627076

Least Common Multiple of 892,703 with GCF Formula

Least Common Multiple of 892,703 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 892,703 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(892,703) = 1

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

GCF(892,703) x common factors =1 x 1 = 1

LCM(892,703) = ( 892 × 703 ) / 1

LCM(892,703) = 627076 / 1

LCM(892,703) = 627076


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 5470/892, 2430/703

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 5470/892, 2430/703?

Answer: GCF of Numerators as per given numbers 5470/892, 2430/703 is

GCF of Numerators i.e. for 5470,2430 is 10

LCM of denominators i.e. for 892,703 is 627076.

Thus, GCF of Fractions is 10/627076.Finally, GCF of Fractions for 5470/892, 2430/703 is 10/627076.