Greatest Common Factor of 7197/597, 4438/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7197/597, 4438/784

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 7197/597,4438/784

Given fractions are 7197/597,4438/784

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 7197,4438

Greatest Common Factor of Numerators i.e. GCF of 7197,4438 is 1 .

LCM of Denominators means LCM of 597,784 as per the given fractions.

LCM of 597,784 is 468048 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7197,4438

GCF of Fractions 7197/597,4438/784 is 1/468048

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

Greatest Common Factor of 7197,4438 By Matching Biggest Common Factor Method

Greatest Common Factor of 7197,4438 By Matching Biggest Common Factor Method

Factors of 7197

List of positive integer factors of 7197 that divides 7197 without a remainder.

1,3,2399,7197

Factors of 4438

List of positive integer factors of 4438 that divides 4438 without a remainder.

1,2,7,14,317,634,2219,4438

Greatest Common Factor

We found the factors 7197,4438 . The biggest common factor number is the GCF number.
So the greatest common factor 7197,4438 is 1.

Lets's calculate LCM of 597,784

Given numbers has no common factors except 1. So, there LCM is their product i.e 468048

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/468048

Therefore, the GCF of Fractions 7197/597,4438/784 is 1/468048

Least Common Multiple of 597,784 with GCF Formula

Least Common Multiple of 597,784 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 597,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(597,784) = 1

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

GCF(597,784) x common factors =1 x 1 = 1

LCM(597,784) = ( 597 × 784 ) / 1

LCM(597,784) = 468048 / 1

LCM(597,784) = 468048


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 7197/597, 4438/784

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 7197/597, 4438/784?

Answer: GCF of Numerators as per given numbers 7197/597, 4438/784 is

GCF of Numerators i.e. for 7197,4438 is 1

LCM of denominators i.e. for 597,784 is 468048.

Thus, GCF of Fractions is 1/468048.Finally, GCF of Fractions for 7197/597, 4438/784 is 1/468048.