Greatest Common Factor of 2668/53, 6922/169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2668/53, 6922/169

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 2668/53,6922/169

Given fractions are 2668/53,6922/169

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 2668,6922

Greatest Common Factor of Numerators i.e. GCF of 2668,6922 is 2 .

LCM of Denominators means LCM of 53,169 as per the given fractions.

LCM of 53,169 is 8957 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2668,6922

GCF of Fractions 2668/53,6922/169 is 2/8957

2 2668, 6922
1334, 3461

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

Greatest Common Factor of 2668,6922 By Matching Biggest Common Factor Method

Greatest Common Factor of 2668,6922 By Matching Biggest Common Factor Method

Factors of 2668

List of positive integer factors of 2668 that divides 2668 without a remainder.

1,2,4,23,29,46,58,92,116,667,1334,2668

Factors of 6922

List of positive integer factors of 6922 that divides 6922 without a remainder.

1,2,3461,6922

Greatest Common Factor

We found the factors 2668,6922 . The biggest common factor number is the GCF number.
So the greatest common factor 2668,6922 is 2.

Lets's calculate LCM of 53,169

Given numbers has no common factors except 1. So, there LCM is their product i.e 8957

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8957

Therefore, the GCF of Fractions 2668/53,6922/169 is 2/8957

Least Common Multiple of 53,169 with GCF Formula

Least Common Multiple of 53,169 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 53,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,169) = 1

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

GCF(53,169) x common factors =1 x 1 = 1

LCM(53,169) = ( 53 × 169 ) / 1

LCM(53,169) = 8957 / 1

LCM(53,169) = 8957


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 2668/53, 6922/169

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 2668/53, 6922/169?

Answer: GCF of Numerators as per given numbers 2668/53, 6922/169 is

GCF of Numerators i.e. for 2668,6922 is 2

LCM of denominators i.e. for 53,169 is 8957.

Thus, GCF of Fractions is 2/8957.Finally, GCF of Fractions for 2668/53, 6922/169 is 2/8957.