Greatest Common Factor of 4068/67, 7926/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4068/67, 7926/322

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 4068/67,7926/322

Given fractions are 4068/67,7926/322

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 4068,7926

Greatest Common Factor of Numerators i.e. GCF of 4068,7926 is 6 .

LCM of Denominators means LCM of 67,322 as per the given fractions.

LCM of 67,322 is 21574 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4068,7926

GCF of Fractions 4068/67,7926/322 is 6/21574

2 4068, 7926
3 2034, 3963
678, 1321

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 4068,7926 By Matching Biggest Common Factor Method

Greatest Common Factor of 4068,7926 By Matching Biggest Common Factor Method

Factors of 4068

List of positive integer factors of 4068 that divides 4068 without a remainder.

1,2,3,4,6,9,12,18,36,113,226,339,452,678,1017,1356,2034,4068

Factors of 7926

List of positive integer factors of 7926 that divides 7926 without a remainder.

1,2,3,6,1321,2642,3963,7926

Greatest Common Factor

We found the factors 4068,7926 . The biggest common factor number is the GCF number.
So the greatest common factor 4068,7926 is 6.

Lets's calculate LCM of 67,322

Given numbers has no common factors except 1. So, there LCM is their product i.e 21574

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/21574

Therefore, the GCF of Fractions 4068/67,7926/322 is 6/21574

Least Common Multiple of 67,322 with GCF Formula

Least Common Multiple of 67,322 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 67,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,322) = 1

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

GCF(67,322) x common factors =1 x 1 = 1

LCM(67,322) = ( 67 × 322 ) / 1

LCM(67,322) = 21574 / 1

LCM(67,322) = 21574


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 4068/67, 7926/322

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 4068/67, 7926/322?

Answer: GCF of Numerators as per given numbers 4068/67, 7926/322 is

GCF of Numerators i.e. for 4068,7926 is 6

LCM of denominators i.e. for 67,322 is 21574.

Thus, GCF of Fractions is 6/21574.Finally, GCF of Fractions for 4068/67, 7926/322 is 6/21574.