Greatest Common Factor of 8252/307, 5322/4394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8252/307, 5322/4394

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 8252/307,5322/4394

Given fractions are 8252/307,5322/4394

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 8252,5322

Greatest Common Factor of Numerators i.e. GCF of 8252,5322 is 2 .

LCM of Denominators means LCM of 307,4394 as per the given fractions.

LCM of 307,4394 is 1348958 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8252,5322

GCF of Fractions 8252/307,5322/4394 is 2/1348958

2 8252, 5322
4126, 2661

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

Greatest Common Factor of 8252,5322 By Matching Biggest Common Factor Method

Greatest Common Factor of 8252,5322 By Matching Biggest Common Factor Method

Factors of 8252

List of positive integer factors of 8252 that divides 8252 without a remainder.

1,2,4,2063,4126,8252

Factors of 5322

List of positive integer factors of 5322 that divides 5322 without a remainder.

1,2,3,6,887,1774,2661,5322

Greatest Common Factor

We found the factors 8252,5322 . The biggest common factor number is the GCF number.
So the greatest common factor 8252,5322 is 2.

Lets's calculate LCM of 307,4394

Given numbers has no common factors except 1. So, there LCM is their product i.e 1348958

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1348958

Therefore, the GCF of Fractions 8252/307,5322/4394 is 2/1348958

Least Common Multiple of 307,4394 with GCF Formula

Least Common Multiple of 307,4394 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 307,4394 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(307,4394) = 1

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

GCF(307,4394) x common factors =1 x 1 = 1

LCM(307,4394) = ( 307 × 4394 ) / 1

LCM(307,4394) = 1348958 / 1

LCM(307,4394) = 1348958


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 8252/307, 5322/4394

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 8252/307, 5322/4394?

Answer: GCF of Numerators as per given numbers 8252/307, 5322/4394 is

GCF of Numerators i.e. for 8252,5322 is 2

LCM of denominators i.e. for 307,4394 is 1348958.

Thus, GCF of Fractions is 2/1348958.Finally, GCF of Fractions for 8252/307, 5322/4394 is 2/1348958.