Greatest Common Factor of 8168/675, 6641/5100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8168/675, 6641/5100

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 8168/675,6641/5100

Given fractions are 8168/675,6641/5100

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 8168,6641

Greatest Common Factor of Numerators i.e. GCF of 8168,6641 is 1 .

LCM of Denominators means LCM of 675,5100 as per the given fractions.

LCM of 675,5100 is 45900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8168,6641

GCF of Fractions 8168/675,6641/5100 is 1/45900

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8168,6641 By Matching Biggest Common Factor Method

Greatest Common Factor of 8168,6641 By Matching Biggest Common Factor Method

Factors of 8168

List of positive integer factors of 8168 that divides 8168 without a remainder.

1,2,4,8,1021,2042,4084,8168

Factors of 6641

List of positive integer factors of 6641 that divides 6641 without a remainder.

1,29,229,6641

Greatest Common Factor

We found the factors 8168,6641 . The biggest common factor number is the GCF number.
So the greatest common factor 8168,6641 is 1.

Lets's calculate LCM of 675,5100

3 675, 5100
5 225, 1700
5 45, 340
9, 68

∴ So the LCM of the given numbers is 3 x 5 x 5 x 9 x 68 = 45900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45900

Therefore, the GCF of Fractions 8168/675,6641/5100 is 1/45900

Least Common Multiple of 675,5100 with GCF Formula

Least Common Multiple of 675,5100 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 675,5100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(675,5100) = 75

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

GCF(675,5100) x common factors =75 x 1 = 75

LCM(675,5100) = ( 675 × 5100 ) / 75

LCM(675,5100) = 3442500 / 75

LCM(675,5100) = 45900


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 8168/675, 6641/5100

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 8168/675, 6641/5100?

Answer: GCF of Numerators as per given numbers 8168/675, 6641/5100 is

GCF of Numerators i.e. for 8168,6641 is 1

LCM of denominators i.e. for 675,5100 is 45900.

Thus, GCF of Fractions is 1/45900.Finally, GCF of Fractions for 8168/675, 6641/5100 is 1/45900.