Greatest Common Factor of 29/75, 92/892, 620/710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 29/75, 92/892, 620/710

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 29/75,92/892,620/710

Given fractions are 29/75,92/892,620/710

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 29,92,620

Greatest Common Factor of Numerators i.e. GCF of 29,92,620 is 1 .

LCM of Denominators means LCM of 75,892,710 as per the given fractions.

LCM of 75,892,710 is 4749900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 29,92,620

GCF of Fractions 29/75,92/892,620/710 is 1/4749900

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

Greatest Common Factor of 29,92,620 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,92,620 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Greatest Common Factor

We found the factors 29,92,620 . The biggest common factor number is the GCF number.
So the greatest common factor 29,92,620 is 1.

Lets's calculate LCM of 75,892,710

2 75, 892, 710
5 75, 446, 355
15, 446, 71

∴ So the LCM of the given numbers is 2 x 5 x 15 x 446 x 71 = 4749900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4749900

Therefore, the GCF of Fractions 29/75,92/892,620/710 is 1/4749900

Least Common Multiple of 75,892,710 with GCF Formula

Least Common Multiple of 75,892,710 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 75,892,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,892,710) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(75,892,710) x common factors =1 x 10 = 10

LCM(75,892,710) = ( 75 × 892 × 710 ) / 10

LCM(75,892,710) = 47499000 / 10

LCM(75,892,710) = 4749900


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 29/75, 92/892, 620/710

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 29/75, 92/892, 620/710?

Answer: GCF of Numerators as per given numbers 29/75, 92/892, 620/710 is

GCF of Numerators i.e. for 29,92,620 is 1

LCM of denominators i.e. for 75,892,710 is 4749900.

Thus, GCF of Fractions is 1/4749900.Finally, GCF of Fractions for 29/75, 92/892, 620/710 is 1/4749900.