Greatest Common Factor of 976/22, 5248/666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 976/22, 5248/666

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 976/22,5248/666

Given fractions are 976/22,5248/666

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 976,5248

Greatest Common Factor of Numerators i.e. GCF of 976,5248 is 16 .

LCM of Denominators means LCM of 22,666 as per the given fractions.

LCM of 22,666 is 7326 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 976,5248

GCF of Fractions 976/22,5248/666 is 16/7326

2 976, 5248
2 488, 2624
2 244, 1312
2 122, 656
61, 328

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 976,5248 By Matching Biggest Common Factor Method

Greatest Common Factor of 976,5248 By Matching Biggest Common Factor Method

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Factors of 5248

List of positive integer factors of 5248 that divides 5248 without a remainder.

1,2,4,8,16,32,41,64,82,128,164,328,656,1312,2624,5248

Greatest Common Factor

We found the factors 976,5248 . The biggest common factor number is the GCF number.
So the greatest common factor 976,5248 is 16.

Lets's calculate LCM of 22,666

2 22, 666
11, 333

∴ So the LCM of the given numbers is 2 x 11 x 333 = 7326

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/7326

Therefore, the GCF of Fractions 976/22,5248/666 is 16/7326

Least Common Multiple of 22,666 with GCF Formula

Least Common Multiple of 22,666 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 22,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,666) = 2

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

GCF(22,666) x common factors =2 x 1 = 2

LCM(22,666) = ( 22 × 666 ) / 2

LCM(22,666) = 14652 / 2

LCM(22,666) = 7326


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 976/22, 5248/666

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 976/22, 5248/666?

Answer: GCF of Numerators as per given numbers 976/22, 5248/666 is

GCF of Numerators i.e. for 976,5248 is 16

LCM of denominators i.e. for 22,666 is 7326.

Thus, GCF of Fractions is 16/7326.Finally, GCF of Fractions for 976/22, 5248/666 is 16/7326.