Greatest Common Factor of 5630/80, 7878/644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5630/80, 7878/644

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 5630/80,7878/644

Given fractions are 5630/80,7878/644

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 5630,7878

Greatest Common Factor of Numerators i.e. GCF of 5630,7878 is 2 .

LCM of Denominators means LCM of 80,644 as per the given fractions.

LCM of 80,644 is 12880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5630,7878

GCF of Fractions 5630/80,7878/644 is 2/12880

2 5630, 7878
2815, 3939

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

Greatest Common Factor of 5630,7878 By Matching Biggest Common Factor Method

Greatest Common Factor of 5630,7878 By Matching Biggest Common Factor Method

Factors of 5630

List of positive integer factors of 5630 that divides 5630 without a remainder.

1,2,5,10,563,1126,2815,5630

Factors of 7878

List of positive integer factors of 7878 that divides 7878 without a remainder.

1,2,3,6,13,26,39,78,101,202,303,606,1313,2626,3939,7878

Greatest Common Factor

We found the factors 5630,7878 . The biggest common factor number is the GCF number.
So the greatest common factor 5630,7878 is 2.

Lets's calculate LCM of 80,644

2 80, 644
2 40, 322
20, 161

∴ So the LCM of the given numbers is 2 x 2 x 20 x 161 = 12880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12880

Therefore, the GCF of Fractions 5630/80,7878/644 is 2/12880

Least Common Multiple of 80,644 with GCF Formula

Least Common Multiple of 80,644 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 80,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,644) = 4

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

GCF(80,644) x common factors =4 x 1 = 4

LCM(80,644) = ( 80 × 644 ) / 4

LCM(80,644) = 51520 / 4

LCM(80,644) = 12880


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 5630/80, 7878/644

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 5630/80, 7878/644?

Answer: GCF of Numerators as per given numbers 5630/80, 7878/644 is

GCF of Numerators i.e. for 5630,7878 is 2

LCM of denominators i.e. for 80,644 is 12880.

Thus, GCF of Fractions is 2/12880.Finally, GCF of Fractions for 5630/80, 7878/644 is 2/12880.