Greatest Common Factor of 89/710, 289/744, 620/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 89/710, 289/744, 620/408

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 89/710,289/744,620/408

Given fractions are 89/710,289/744,620/408

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 89,289,620

Greatest Common Factor of Numerators i.e. GCF of 89,289,620 is 1 .

LCM of Denominators means LCM of 710,744,408 as per the given fractions.

LCM of 710,744,408 is 4490040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 89,289,620

GCF of Fractions 89/710,289/744,620/408 is 1/4490040

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

Greatest Common Factor of 89,289,620 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,289,620 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

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 89,289,620 . The biggest common factor number is the GCF number.
So the greatest common factor 89,289,620 is 1.

Lets's calculate LCM of 710,744,408

2 710, 744, 408
2 355, 372, 204
2 355, 186, 102
3 355, 93, 51
355, 31, 17

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 355 x 31 x 17 = 4490040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4490040

Therefore, the GCF of Fractions 89/710,289/744,620/408 is 1/4490040

Least Common Multiple of 710,744,408 with GCF Formula

Least Common Multiple of 710,744,408 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 710,744,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(710,744,408) = 2

common factors(in case of two or more numbers have common factors) = 24

GCF(710,744,408) x common factors =2 x 24 = 48

LCM(710,744,408) = ( 710 × 744 × 408 ) / 48

LCM(710,744,408) = 215521920 / 48

LCM(710,744,408) = 4490040


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 89/710, 289/744, 620/408

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 89/710, 289/744, 620/408?

Answer: GCF of Numerators as per given numbers 89/710, 289/744, 620/408 is

GCF of Numerators i.e. for 89,289,620 is 1

LCM of denominators i.e. for 710,744,408 is 4490040.

Thus, GCF of Fractions is 1/4490040.Finally, GCF of Fractions for 89/710, 289/744, 620/408 is 1/4490040.