Greatest Common Factor of 771/228, 1407/422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 771/228, 1407/422

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 771/228,1407/422

Given fractions are 771/228,1407/422

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 771,1407

Greatest Common Factor of Numerators i.e. GCF of 771,1407 is 3 .

LCM of Denominators means LCM of 228,422 as per the given fractions.

LCM of 228,422 is 48108 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 771,1407

GCF of Fractions 771/228,1407/422 is 3/48108

3 771, 1407
257, 469

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 771,1407 By Matching Biggest Common Factor Method

Greatest Common Factor of 771,1407 By Matching Biggest Common Factor Method

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Factors of 1407

List of positive integer factors of 1407 that divides 1407 without a remainder.

1,3,7,21,67,201,469,1407

Greatest Common Factor

We found the factors 771,1407 . The biggest common factor number is the GCF number.
So the greatest common factor 771,1407 is 3.

Lets's calculate LCM of 228,422

2 228, 422
114, 211

∴ So the LCM of the given numbers is 2 x 114 x 211 = 48108

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/48108

Therefore, the GCF of Fractions 771/228,1407/422 is 3/48108

Least Common Multiple of 228,422 with GCF Formula

Least Common Multiple of 228,422 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 228,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,422) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(228,422) x common factors =2 x 1 = 2

LCM(228,422) = ( 228 × 422 ) / 2

LCM(228,422) = 96216 / 2

LCM(228,422) = 48108


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 771/228, 1407/422

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 771/228, 1407/422?

Answer: GCF of Numerators as per given numbers 771/228, 1407/422 is

GCF of Numerators i.e. for 771,1407 is 3

LCM of denominators i.e. for 228,422 is 48108.

Thus, GCF of Fractions is 3/48108.Finally, GCF of Fractions for 771/228, 1407/422 is 3/48108.