Greatest Common Factor of 826/351, 9212/771

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 826/351, 9212/771

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 826/351,9212/771

Given fractions are 826/351,9212/771

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 826,9212

Greatest Common Factor of Numerators i.e. GCF of 826,9212 is 14 .

LCM of Denominators means LCM of 351,771 as per the given fractions.

LCM of 351,771 is 90207 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 826,9212

GCF of Fractions 826/351,9212/771 is 14/90207

2 826, 9212
7 413, 4606
59, 658

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 826,9212 By Matching Biggest Common Factor Method

Greatest Common Factor of 826,9212 By Matching Biggest Common Factor Method

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Factors of 9212

List of positive integer factors of 9212 that divides 9212 without a remainder.

1,2,4,7,14,28,47,49,94,98,188,196,329,658,1316,2303,4606,9212

Greatest Common Factor

We found the factors 826,9212 . The biggest common factor number is the GCF number.
So the greatest common factor 826,9212 is 14.

Lets's calculate LCM of 351,771

3 351, 771
117, 257

∴ So the LCM of the given numbers is 3 x 117 x 257 = 90207

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/90207

Therefore, the GCF of Fractions 826/351,9212/771 is 14/90207

Least Common Multiple of 351,771 with GCF Formula

Least Common Multiple of 351,771 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 351,771 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(351,771) = 3

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

GCF(351,771) x common factors =3 x 1 = 3

LCM(351,771) = ( 351 × 771 ) / 3

LCM(351,771) = 270621 / 3

LCM(351,771) = 90207


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 826/351, 9212/771

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 826/351, 9212/771?

Answer: GCF of Numerators as per given numbers 826/351, 9212/771 is

GCF of Numerators i.e. for 826,9212 is 14

LCM of denominators i.e. for 351,771 is 90207.

Thus, GCF of Fractions is 14/90207.Finally, GCF of Fractions for 826/351, 9212/771 is 14/90207.