Greatest Common Factor of 80/29, 58/10, 644/665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 80/29, 58/10, 644/665

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 80/29,58/10,644/665

Given fractions are 80/29,58/10,644/665

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 80,58,644

Greatest Common Factor of Numerators i.e. GCF of 80,58,644 is 2 .

LCM of Denominators means LCM of 29,10,665 as per the given fractions.

LCM of 29,10,665 is 38570 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 80,58,644

GCF of Fractions 80/29,58/10,644/665 is 2/38570

2 80, 58, 644
40, 29, 322

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

Greatest Common Factor of 80,58,644 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,58,644 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Greatest Common Factor

We found the factors 80,58,644 . The biggest common factor number is the GCF number.
So the greatest common factor 80,58,644 is 2.

Lets's calculate LCM of 29,10,665

5 29, 10, 665
29, 2, 133

∴ So the LCM of the given numbers is 5 x 29 x 2 x 133 = 38570

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/38570

Therefore, the GCF of Fractions 80/29,58/10,644/665 is 2/38570

Least Common Multiple of 29,10,665 with GCF Formula

Least Common Multiple of 29,10,665 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 29,10,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,10,665) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(29,10,665) x common factors =1 x 5 = 5

LCM(29,10,665) = ( 29 × 10 × 665 ) / 5

LCM(29,10,665) = 192850 / 5

LCM(29,10,665) = 38570


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 80/29, 58/10, 644/665

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 80/29, 58/10, 644/665?

Answer: GCF of Numerators as per given numbers 80/29, 58/10, 644/665 is

GCF of Numerators i.e. for 80,58,644 is 2

LCM of denominators i.e. for 29,10,665 is 38570.

Thus, GCF of Fractions is 2/38570.Finally, GCF of Fractions for 80/29, 58/10, 644/665 is 2/38570.