Greatest Common Factor of 4772/880, 2132/3555

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4772/880, 2132/3555

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 4772/880,2132/3555

Given fractions are 4772/880,2132/3555

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 4772,2132

Greatest Common Factor of Numerators i.e. GCF of 4772,2132 is 4 .

LCM of Denominators means LCM of 880,3555 as per the given fractions.

LCM of 880,3555 is 625680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4772,2132

GCF of Fractions 4772/880,2132/3555 is 4/625680

2 4772, 2132
2 2386, 1066
1193, 533

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 4772,2132 By Matching Biggest Common Factor Method

Greatest Common Factor of 4772,2132 By Matching Biggest Common Factor Method

Factors of 4772

List of positive integer factors of 4772 that divides 4772 without a remainder.

1,2,4,1193,2386,4772

Factors of 2132

List of positive integer factors of 2132 that divides 2132 without a remainder.

1,2,4,13,26,41,52,82,164,533,1066,2132

Greatest Common Factor

We found the factors 4772,2132 . The biggest common factor number is the GCF number.
So the greatest common factor 4772,2132 is 4.

Lets's calculate LCM of 880,3555

5 880, 3555
176, 711

∴ So the LCM of the given numbers is 5 x 176 x 711 = 625680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/625680

Therefore, the GCF of Fractions 4772/880,2132/3555 is 4/625680

Least Common Multiple of 880,3555 with GCF Formula

Least Common Multiple of 880,3555 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 880,3555 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(880,3555) = 5

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

GCF(880,3555) x common factors =5 x 1 = 5

LCM(880,3555) = ( 880 × 3555 ) / 5

LCM(880,3555) = 3128400 / 5

LCM(880,3555) = 625680


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 4772/880, 2132/3555

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 4772/880, 2132/3555?

Answer: GCF of Numerators as per given numbers 4772/880, 2132/3555 is

GCF of Numerators i.e. for 4772,2132 is 4

LCM of denominators i.e. for 880,3555 is 625680.

Thus, GCF of Fractions is 4/625680.Finally, GCF of Fractions for 4772/880, 2132/3555 is 4/625680.