Greatest Common Factor of 464/788, 2704/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 464/788, 2704/132

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 464/788,2704/132

Given fractions are 464/788,2704/132

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 464,2704

Greatest Common Factor of Numerators i.e. GCF of 464,2704 is 16 .

LCM of Denominators means LCM of 788,132 as per the given fractions.

LCM of 788,132 is 26004 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 464,2704

GCF of Fractions 464/788,2704/132 is 16/26004

2 464, 2704
2 232, 1352
2 116, 676
2 58, 338
29, 169

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 464,2704 By Matching Biggest Common Factor Method

Greatest Common Factor of 464,2704 By Matching Biggest Common Factor Method

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Factors of 2704

List of positive integer factors of 2704 that divides 2704 without a remainder.

1,2,4,8,13,16,26,52,104,169,208,338,676,1352,2704

Greatest Common Factor

We found the factors 464,2704 . The biggest common factor number is the GCF number.
So the greatest common factor 464,2704 is 16.

Lets's calculate LCM of 788,132

2 788, 132
2 394, 66
197, 33

∴ So the LCM of the given numbers is 2 x 2 x 197 x 33 = 26004

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/26004

Therefore, the GCF of Fractions 464/788,2704/132 is 16/26004

Least Common Multiple of 788,132 with GCF Formula

Least Common Multiple of 788,132 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 788,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(788,132) = 4

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

GCF(788,132) x common factors =4 x 1 = 4

LCM(788,132) = ( 788 × 132 ) / 4

LCM(788,132) = 104016 / 4

LCM(788,132) = 26004


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 464/788, 2704/132

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 464/788, 2704/132?

Answer: GCF of Numerators as per given numbers 464/788, 2704/132 is

GCF of Numerators i.e. for 464,2704 is 16

LCM of denominators i.e. for 788,132 is 26004.

Thus, GCF of Fractions is 16/26004.Finally, GCF of Fractions for 464/788, 2704/132 is 16/26004.