Greatest Common Factor of 6739/66, 2668/941

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6739/66, 2668/941

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 6739/66,2668/941

Given fractions are 6739/66,2668/941

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 6739,2668

Greatest Common Factor of Numerators i.e. GCF of 6739,2668 is 23 .

LCM of Denominators means LCM of 66,941 as per the given fractions.

LCM of 66,941 is 62106 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6739,2668

GCF of Fractions 6739/66,2668/941 is 23/62106

23 6739, 2668
293, 116

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 6739,2668 By Matching Biggest Common Factor Method

Greatest Common Factor of 6739,2668 By Matching Biggest Common Factor Method

Factors of 6739

List of positive integer factors of 6739 that divides 6739 without a remainder.

1,23,293,6739

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

Greatest Common Factor

We found the factors 6739,2668 . The biggest common factor number is the GCF number.
So the greatest common factor 6739,2668 is 23.

Lets's calculate LCM of 66,941

Given numbers has no common factors except 1. So, there LCM is their product i.e 62106

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/62106

Therefore, the GCF of Fractions 6739/66,2668/941 is 23/62106

Least Common Multiple of 66,941 with GCF Formula

Least Common Multiple of 66,941 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 66,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,941) = 1

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

GCF(66,941) x common factors =1 x 1 = 1

LCM(66,941) = ( 66 × 941 ) / 1

LCM(66,941) = 62106 / 1

LCM(66,941) = 62106


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 6739/66, 2668/941

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 6739/66, 2668/941?

Answer: GCF of Numerators as per given numbers 6739/66, 2668/941 is

GCF of Numerators i.e. for 6739,2668 is 23

LCM of denominators i.e. for 66,941 is 62106.

Thus, GCF of Fractions is 23/62106.Finally, GCF of Fractions for 6739/66, 2668/941 is 23/62106.