Greatest Common Factor of 328/427, 6524/293

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 328/427, 6524/293

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 328/427,6524/293

Given fractions are 328/427,6524/293

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 328,6524

Greatest Common Factor of Numerators i.e. GCF of 328,6524 is 4 .

LCM of Denominators means LCM of 427,293 as per the given fractions.

LCM of 427,293 is 125111 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 328,6524

GCF of Fractions 328/427,6524/293 is 4/125111

2 328, 6524
2 164, 3262
82, 1631

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 328,6524 By Matching Biggest Common Factor Method

Greatest Common Factor of 328,6524 By Matching Biggest Common Factor Method

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Factors of 6524

List of positive integer factors of 6524 that divides 6524 without a remainder.

1,2,4,7,14,28,233,466,932,1631,3262,6524

Greatest Common Factor

We found the factors 328,6524 . The biggest common factor number is the GCF number.
So the greatest common factor 328,6524 is 4.

Lets's calculate LCM of 427,293

Given numbers has no common factors except 1. So, there LCM is their product i.e 125111

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/125111

Therefore, the GCF of Fractions 328/427,6524/293 is 4/125111

Least Common Multiple of 427,293 with GCF Formula

Least Common Multiple of 427,293 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 427,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(427,293) = 1

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

GCF(427,293) x common factors =1 x 1 = 1

LCM(427,293) = ( 427 × 293 ) / 1

LCM(427,293) = 125111 / 1

LCM(427,293) = 125111


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 328/427, 6524/293

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 328/427, 6524/293?

Answer: GCF of Numerators as per given numbers 328/427, 6524/293 is

GCF of Numerators i.e. for 328,6524 is 4

LCM of denominators i.e. for 427,293 is 125111.

Thus, GCF of Fractions is 4/125111.Finally, GCF of Fractions for 328/427, 6524/293 is 4/125111.