Greatest Common Factor of 7362/25, 5207/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7362/25, 5207/364

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 7362/25,5207/364

Given fractions are 7362/25,5207/364

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 7362,5207

Greatest Common Factor of Numerators i.e. GCF of 7362,5207 is 1 .

LCM of Denominators means LCM of 25,364 as per the given fractions.

LCM of 25,364 is 9100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7362,5207

GCF of Fractions 7362/25,5207/364 is 1/9100

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7362,5207 By Matching Biggest Common Factor Method

Greatest Common Factor of 7362,5207 By Matching Biggest Common Factor Method

Factors of 7362

List of positive integer factors of 7362 that divides 7362 without a remainder.

1,2,3,6,9,18,409,818,1227,2454,3681,7362

Factors of 5207

List of positive integer factors of 5207 that divides 5207 without a remainder.

1,41,127,5207

Greatest Common Factor

We found the factors 7362,5207 . The biggest common factor number is the GCF number.
So the greatest common factor 7362,5207 is 1.

Lets's calculate LCM of 25,364

Given numbers has no common factors except 1. So, there LCM is their product i.e 9100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9100

Therefore, the GCF of Fractions 7362/25,5207/364 is 1/9100

Least Common Multiple of 25,364 with GCF Formula

Least Common Multiple of 25,364 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 25,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,364) = 1

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

GCF(25,364) x common factors =1 x 1 = 1

LCM(25,364) = ( 25 × 364 ) / 1

LCM(25,364) = 9100 / 1

LCM(25,364) = 9100


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 7362/25, 5207/364

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 7362/25, 5207/364?

Answer: GCF of Numerators as per given numbers 7362/25, 5207/364 is

GCF of Numerators i.e. for 7362,5207 is 1

LCM of denominators i.e. for 25,364 is 9100.

Thus, GCF of Fractions is 1/9100.Finally, GCF of Fractions for 7362/25, 5207/364 is 1/9100.