Greatest Common Factor of 64/78, 37/51, 128/455

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 64/78, 37/51, 128/455

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 64/78,37/51,128/455

Given fractions are 64/78,37/51,128/455

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 64,37,128

Greatest Common Factor of Numerators i.e. GCF of 64,37,128 is 1 .

LCM of Denominators means LCM of 78,51,455 as per the given fractions.

LCM of 78,51,455 is 46410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 64,37,128

GCF of Fractions 64/78,37/51,128/455 is 1/46410

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 64,37,128 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,37,128 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Greatest Common Factor

We found the factors 64,37,128 . The biggest common factor number is the GCF number.
So the greatest common factor 64,37,128 is 1.

Lets's calculate LCM of 78,51,455

3 78, 51, 455
13 26, 17, 455
2, 17, 35

∴ So the LCM of the given numbers is 3 x 13 x 2 x 17 x 35 = 46410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46410

Therefore, the GCF of Fractions 64/78,37/51,128/455 is 1/46410

Least Common Multiple of 78,51,455 with GCF Formula

Least Common Multiple of 78,51,455 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 78,51,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,51,455) = 1

common factors(in case of two or more numbers have common factors) = 39

GCF(78,51,455) x common factors =1 x 39 = 39

LCM(78,51,455) = ( 78 × 51 × 455 ) / 39

LCM(78,51,455) = 1809990 / 39

LCM(78,51,455) = 46410


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 64/78, 37/51, 128/455

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 64/78, 37/51, 128/455?

Answer: GCF of Numerators as per given numbers 64/78, 37/51, 128/455 is

GCF of Numerators i.e. for 64,37,128 is 1

LCM of denominators i.e. for 78,51,455 is 46410.

Thus, GCF of Fractions is 1/46410.Finally, GCF of Fractions for 64/78, 37/51, 128/455 is 1/46410.