Greatest Common Factor of 3164/96, 8876/666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3164/96, 8876/666

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 3164/96,8876/666

Given fractions are 3164/96,8876/666

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 3164,8876

Greatest Common Factor of Numerators i.e. GCF of 3164,8876 is 28 .

LCM of Denominators means LCM of 96,666 as per the given fractions.

LCM of 96,666 is 10656 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3164,8876

GCF of Fractions 3164/96,8876/666 is 28/10656

2 3164, 8876
2 1582, 4438
7 791, 2219
113, 317

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Greatest Common Factor of 3164,8876 By Matching Biggest Common Factor Method

Greatest Common Factor of 3164,8876 By Matching Biggest Common Factor Method

Factors of 3164

List of positive integer factors of 3164 that divides 3164 without a remainder.

1,2,4,7,14,28,113,226,452,791,1582,3164

Factors of 8876

List of positive integer factors of 8876 that divides 8876 without a remainder.

1,2,4,7,14,28,317,634,1268,2219,4438,8876

Greatest Common Factor

We found the factors 3164,8876 . The biggest common factor number is the GCF number.
So the greatest common factor 3164,8876 is 28.

Lets's calculate LCM of 96,666

2 96, 666
3 48, 333
16, 111

∴ So the LCM of the given numbers is 2 x 3 x 16 x 111 = 10656

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/10656

Therefore, the GCF of Fractions 3164/96,8876/666 is 28/10656

Least Common Multiple of 96,666 with GCF Formula

Least Common Multiple of 96,666 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 96,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,666) = 6

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

GCF(96,666) x common factors =6 x 1 = 6

LCM(96,666) = ( 96 × 666 ) / 6

LCM(96,666) = 63936 / 6

LCM(96,666) = 10656


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 3164/96, 8876/666

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 3164/96, 8876/666?

Answer: GCF of Numerators as per given numbers 3164/96, 8876/666 is

GCF of Numerators i.e. for 3164,8876 is 28

LCM of denominators i.e. for 96,666 is 10656.

Thus, GCF of Fractions is 28/10656.Finally, GCF of Fractions for 3164/96, 8876/666 is 28/10656.