Greatest Common Factor of 889/765, 747/848, 540/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 889/765, 747/848, 540/297

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 889/765,747/848,540/297

Given fractions are 889/765,747/848,540/297

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 889,747,540

Greatest Common Factor of Numerators i.e. GCF of 889,747,540 is 1 .

LCM of Denominators means LCM of 765,848,297 as per the given fractions.

LCM of 765,848,297 is 21407760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 889,747,540

GCF of Fractions 889/765,747/848,540/297 is 1/21407760

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

Greatest Common Factor of 889,747,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 889,747,540 By Matching Biggest Common Factor Method

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Greatest Common Factor

We found the factors 889,747,540 . The biggest common factor number is the GCF number.
So the greatest common factor 889,747,540 is 1.

Lets's calculate LCM of 765,848,297

3 765, 848, 297
3 255, 848, 99
85, 848, 33

∴ So the LCM of the given numbers is 3 x 3 x 85 x 848 x 33 = 21407760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21407760

Therefore, the GCF of Fractions 889/765,747/848,540/297 is 1/21407760

Least Common Multiple of 765,848,297 with GCF Formula

Least Common Multiple of 765,848,297 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 765,848,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(765,848,297) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(765,848,297) x common factors =1 x 9 = 9

LCM(765,848,297) = ( 765 × 848 × 297 ) / 9

LCM(765,848,297) = 192669840 / 9

LCM(765,848,297) = 21407760


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 889/765, 747/848, 540/297

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 889/765, 747/848, 540/297?

Answer: GCF of Numerators as per given numbers 889/765, 747/848, 540/297 is

GCF of Numerators i.e. for 889,747,540 is 1

LCM of denominators i.e. for 765,848,297 is 21407760.

Thus, GCF of Fractions is 1/21407760.Finally, GCF of Fractions for 889/765, 747/848, 540/297 is 1/21407760.