Greatest Common Factor of 5302/974, 2378/7323

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5302/974, 2378/7323

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 5302/974,2378/7323

Given fractions are 5302/974,2378/7323

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 5302,2378

Greatest Common Factor of Numerators i.e. GCF of 5302,2378 is 2 .

LCM of Denominators means LCM of 974,7323 as per the given fractions.

LCM of 974,7323 is 7132602 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5302,2378

GCF of Fractions 5302/974,2378/7323 is 2/7132602

2 5302, 2378
2651, 1189

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

Greatest Common Factor of 5302,2378 By Matching Biggest Common Factor Method

Greatest Common Factor of 5302,2378 By Matching Biggest Common Factor Method

Factors of 5302

List of positive integer factors of 5302 that divides 5302 without a remainder.

1,2,11,22,241,482,2651,5302

Factors of 2378

List of positive integer factors of 2378 that divides 2378 without a remainder.

1,2,29,41,58,82,1189,2378

Greatest Common Factor

We found the factors 5302,2378 . The biggest common factor number is the GCF number.
So the greatest common factor 5302,2378 is 2.

Lets's calculate LCM of 974,7323

Given numbers has no common factors except 1. So, there LCM is their product i.e 7132602

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7132602

Therefore, the GCF of Fractions 5302/974,2378/7323 is 2/7132602

Least Common Multiple of 974,7323 with GCF Formula

Least Common Multiple of 974,7323 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 974,7323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(974,7323) = 1

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

GCF(974,7323) x common factors =1 x 1 = 1

LCM(974,7323) = ( 974 × 7323 ) / 1

LCM(974,7323) = 7132602 / 1

LCM(974,7323) = 7132602


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 5302/974, 2378/7323

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 5302/974, 2378/7323?

Answer: GCF of Numerators as per given numbers 5302/974, 2378/7323 is

GCF of Numerators i.e. for 5302,2378 is 2

LCM of denominators i.e. for 974,7323 is 7132602.

Thus, GCF of Fractions is 2/7132602.Finally, GCF of Fractions for 5302/974, 2378/7323 is 2/7132602.