Greatest Common Factor of 253/21, 836/7773

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 253/21, 836/7773

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 253/21,836/7773

Given fractions are 253/21,836/7773

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 253,836

Greatest Common Factor of Numerators i.e. GCF of 253,836 is 11 .

LCM of Denominators means LCM of 21,7773 as per the given fractions.

LCM of 21,7773 is 54411 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 253,836

GCF of Fractions 253/21,836/7773 is 11/54411

11 253, 836
23, 76

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 253,836 By Matching Biggest Common Factor Method

Greatest Common Factor of 253,836 By Matching Biggest Common Factor Method

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Greatest Common Factor

We found the factors 253,836 . The biggest common factor number is the GCF number.
So the greatest common factor 253,836 is 11.

Lets's calculate LCM of 21,7773

3 21, 7773
7, 2591

∴ So the LCM of the given numbers is 3 x 7 x 2591 = 54411

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/54411

Therefore, the GCF of Fractions 253/21,836/7773 is 11/54411

Least Common Multiple of 21,7773 with GCF Formula

Least Common Multiple of 21,7773 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 21,7773 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,7773) = 3

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

GCF(21,7773) x common factors =3 x 1 = 3

LCM(21,7773) = ( 21 × 7773 ) / 3

LCM(21,7773) = 163233 / 3

LCM(21,7773) = 54411


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 253/21, 836/7773

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 253/21, 836/7773?

Answer: GCF of Numerators as per given numbers 253/21, 836/7773 is

GCF of Numerators i.e. for 253,836 is 11

LCM of denominators i.e. for 21,7773 is 54411.

Thus, GCF of Fractions is 11/54411.Finally, GCF of Fractions for 253/21, 836/7773 is 11/54411.