Greatest Common Factor of 755/844, 270/360, 877/228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 755/844, 270/360, 877/228

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 755/844,270/360,877/228

Given fractions are 755/844,270/360,877/228

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 755,270,877

Greatest Common Factor of Numerators i.e. GCF of 755,270,877 is 1 .

LCM of Denominators means LCM of 844,360,228 as per the given fractions.

LCM of 844,360,228 is 1443240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 755,270,877

GCF of Fractions 755/844,270/360,877/228 is 1/1443240

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

Greatest Common Factor of 755,270,877 By Matching Biggest Common Factor Method

Greatest Common Factor of 755,270,877 By Matching Biggest Common Factor Method

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Factors of 877

List of positive integer factors of 877 that divides 877 without a remainder.

1,877

Greatest Common Factor

We found the factors 755,270,877 . The biggest common factor number is the GCF number.
So the greatest common factor 755,270,877 is 1.

Lets's calculate LCM of 844,360,228

2 844, 360, 228
2 422, 180, 114
3 211, 90, 57
211, 30, 19

∴ So the LCM of the given numbers is 2 x 2 x 3 x 211 x 30 x 19 = 1443240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1443240

Therefore, the GCF of Fractions 755/844,270/360,877/228 is 1/1443240

Least Common Multiple of 844,360,228 with GCF Formula

Least Common Multiple of 844,360,228 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 844,360,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(844,360,228) = 4

common factors(in case of two or more numbers have common factors) = 12

GCF(844,360,228) x common factors =4 x 12 = 48

LCM(844,360,228) = ( 844 × 360 × 228 ) / 48

LCM(844,360,228) = 69275520 / 48

LCM(844,360,228) = 1443240


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 755/844, 270/360, 877/228

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 755/844, 270/360, 877/228?

Answer: GCF of Numerators as per given numbers 755/844, 270/360, 877/228 is

GCF of Numerators i.e. for 755,270,877 is 1

LCM of denominators i.e. for 844,360,228 is 1443240.

Thus, GCF of Fractions is 1/1443240.Finally, GCF of Fractions for 755/844, 270/360, 877/228 is 1/1443240.