Greatest Common Factor of 325/209, 5360/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 325/209, 5360/344

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 325/209,5360/344

Given fractions are 325/209,5360/344

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 325,5360

Greatest Common Factor of Numerators i.e. GCF of 325,5360 is 5 .

LCM of Denominators means LCM of 209,344 as per the given fractions.

LCM of 209,344 is 71896 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 325,5360

GCF of Fractions 325/209,5360/344 is 5/71896

5 325, 5360
65, 1072

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 325,5360 By Matching Biggest Common Factor Method

Greatest Common Factor of 325,5360 By Matching Biggest Common Factor Method

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Factors of 5360

List of positive integer factors of 5360 that divides 5360 without a remainder.

1,2,4,5,8,10,16,20,40,67,80,134,268,335,536,670,1072,1340,2680,5360

Greatest Common Factor

We found the factors 325,5360 . The biggest common factor number is the GCF number.
So the greatest common factor 325,5360 is 5.

Lets's calculate LCM of 209,344

Given numbers has no common factors except 1. So, there LCM is their product i.e 71896

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/71896

Therefore, the GCF of Fractions 325/209,5360/344 is 5/71896

Least Common Multiple of 209,344 with GCF Formula

Least Common Multiple of 209,344 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 209,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(209,344) = 1

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

GCF(209,344) x common factors =1 x 1 = 1

LCM(209,344) = ( 209 × 344 ) / 1

LCM(209,344) = 71896 / 1

LCM(209,344) = 71896


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 325/209, 5360/344

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 325/209, 5360/344?

Answer: GCF of Numerators as per given numbers 325/209, 5360/344 is

GCF of Numerators i.e. for 325,5360 is 5

LCM of denominators i.e. for 209,344 is 71896.

Thus, GCF of Fractions is 5/71896.Finally, GCF of Fractions for 325/209, 5360/344 is 5/71896.