Greatest Common Factor of 5661/95, 8028/664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5661/95, 8028/664

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 5661/95,8028/664

Given fractions are 5661/95,8028/664

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 5661,8028

Greatest Common Factor of Numerators i.e. GCF of 5661,8028 is 9 .

LCM of Denominators means LCM of 95,664 as per the given fractions.

LCM of 95,664 is 63080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5661,8028

GCF of Fractions 5661/95,8028/664 is 9/63080

3 5661, 8028
3 1887, 2676
629, 892

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 5661,8028 By Matching Biggest Common Factor Method

Greatest Common Factor of 5661,8028 By Matching Biggest Common Factor Method

Factors of 5661

List of positive integer factors of 5661 that divides 5661 without a remainder.

1,3,9,17,37,51,111,153,333,629,1887,5661

Factors of 8028

List of positive integer factors of 8028 that divides 8028 without a remainder.

1,2,3,4,6,9,12,18,36,223,446,669,892,1338,2007,2676,4014,8028

Greatest Common Factor

We found the factors 5661,8028 . The biggest common factor number is the GCF number.
So the greatest common factor 5661,8028 is 9.

Lets's calculate LCM of 95,664

Given numbers has no common factors except 1. So, there LCM is their product i.e 63080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/63080

Therefore, the GCF of Fractions 5661/95,8028/664 is 9/63080

Least Common Multiple of 95,664 with GCF Formula

Least Common Multiple of 95,664 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 95,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,664) = 1

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

GCF(95,664) x common factors =1 x 1 = 1

LCM(95,664) = ( 95 × 664 ) / 1

LCM(95,664) = 63080 / 1

LCM(95,664) = 63080


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 5661/95, 8028/664

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 5661/95, 8028/664?

Answer: GCF of Numerators as per given numbers 5661/95, 8028/664 is

GCF of Numerators i.e. for 5661,8028 is 9

LCM of denominators i.e. for 95,664 is 63080.

Thus, GCF of Fractions is 9/63080.Finally, GCF of Fractions for 5661/95, 8028/664 is 9/63080.