Greatest Common Factor of 4648/555, 7880/429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4648/555, 7880/429

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 4648/555,7880/429

Given fractions are 4648/555,7880/429

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 4648,7880

Greatest Common Factor of Numerators i.e. GCF of 4648,7880 is 8 .

LCM of Denominators means LCM of 555,429 as per the given fractions.

LCM of 555,429 is 79365 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4648,7880

GCF of Fractions 4648/555,7880/429 is 8/79365

2 4648, 7880
2 2324, 3940
2 1162, 1970
581, 985

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 4648,7880 By Matching Biggest Common Factor Method

Greatest Common Factor of 4648,7880 By Matching Biggest Common Factor Method

Factors of 4648

List of positive integer factors of 4648 that divides 4648 without a remainder.

1,2,4,7,8,14,28,56,83,166,332,581,664,1162,2324,4648

Factors of 7880

List of positive integer factors of 7880 that divides 7880 without a remainder.

1,2,4,5,8,10,20,40,197,394,788,985,1576,1970,3940,7880

Greatest Common Factor

We found the factors 4648,7880 . The biggest common factor number is the GCF number.
So the greatest common factor 4648,7880 is 8.

Lets's calculate LCM of 555,429

3 555, 429
185, 143

∴ So the LCM of the given numbers is 3 x 185 x 143 = 79365

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/79365

Therefore, the GCF of Fractions 4648/555,7880/429 is 8/79365

Least Common Multiple of 555,429 with GCF Formula

Least Common Multiple of 555,429 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 555,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(555,429) = 3

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

GCF(555,429) x common factors =3 x 1 = 3

LCM(555,429) = ( 555 × 429 ) / 3

LCM(555,429) = 238095 / 3

LCM(555,429) = 79365


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 4648/555, 7880/429

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 4648/555, 7880/429?

Answer: GCF of Numerators as per given numbers 4648/555, 7880/429 is

GCF of Numerators i.e. for 4648,7880 is 8

LCM of denominators i.e. for 555,429 is 79365.

Thus, GCF of Fractions is 8/79365.Finally, GCF of Fractions for 4648/555, 7880/429 is 8/79365.