Greatest Common Factor of 906/688, 2286/422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 906/688, 2286/422

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 906/688,2286/422

Given fractions are 906/688,2286/422

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 906,2286

Greatest Common Factor of Numerators i.e. GCF of 906,2286 is 6 .

LCM of Denominators means LCM of 688,422 as per the given fractions.

LCM of 688,422 is 145168 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 906,2286

GCF of Fractions 906/688,2286/422 is 6/145168

2 906, 2286
3 453, 1143
151, 381

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 906,2286 By Matching Biggest Common Factor Method

Greatest Common Factor of 906,2286 By Matching Biggest Common Factor Method

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Factors of 2286

List of positive integer factors of 2286 that divides 2286 without a remainder.

1,2,3,6,9,18,127,254,381,762,1143,2286

Greatest Common Factor

We found the factors 906,2286 . The biggest common factor number is the GCF number.
So the greatest common factor 906,2286 is 6.

Lets's calculate LCM of 688,422

2 688, 422
344, 211

∴ So the LCM of the given numbers is 2 x 344 x 211 = 145168

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/145168

Therefore, the GCF of Fractions 906/688,2286/422 is 6/145168

Least Common Multiple of 688,422 with GCF Formula

Least Common Multiple of 688,422 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 688,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,422) = 2

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

GCF(688,422) x common factors =2 x 1 = 2

LCM(688,422) = ( 688 × 422 ) / 2

LCM(688,422) = 290336 / 2

LCM(688,422) = 145168


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 906/688, 2286/422

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 906/688, 2286/422?

Answer: GCF of Numerators as per given numbers 906/688, 2286/422 is

GCF of Numerators i.e. for 906,2286 is 6

LCM of denominators i.e. for 688,422 is 145168.

Thus, GCF of Fractions is 6/145168.Finally, GCF of Fractions for 906/688, 2286/422 is 6/145168.