Greatest Common Factor of 7118/589, 9893/697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7118/589, 9893/697

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 7118/589,9893/697

Given fractions are 7118/589,9893/697

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 7118,9893

Greatest Common Factor of Numerators i.e. GCF of 7118,9893 is 1 .

LCM of Denominators means LCM of 589,697 as per the given fractions.

LCM of 589,697 is 410533 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7118,9893

GCF of Fractions 7118/589,9893/697 is 1/410533

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

Greatest Common Factor of 7118,9893 By Matching Biggest Common Factor Method

Greatest Common Factor of 7118,9893 By Matching Biggest Common Factor Method

Factors of 7118

List of positive integer factors of 7118 that divides 7118 without a remainder.

1,2,3559,7118

Factors of 9893

List of positive integer factors of 9893 that divides 9893 without a remainder.

1,13,761,9893

Greatest Common Factor

We found the factors 7118,9893 . The biggest common factor number is the GCF number.
So the greatest common factor 7118,9893 is 1.

Lets's calculate LCM of 589,697

Given numbers has no common factors except 1. So, there LCM is their product i.e 410533

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/410533

Therefore, the GCF of Fractions 7118/589,9893/697 is 1/410533

Least Common Multiple of 589,697 with GCF Formula

Least Common Multiple of 589,697 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 589,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(589,697) = 1

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

GCF(589,697) x common factors =1 x 1 = 1

LCM(589,697) = ( 589 × 697 ) / 1

LCM(589,697) = 410533 / 1

LCM(589,697) = 410533


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 7118/589, 9893/697

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 7118/589, 9893/697?

Answer: GCF of Numerators as per given numbers 7118/589, 9893/697 is

GCF of Numerators i.e. for 7118,9893 is 1

LCM of denominators i.e. for 589,697 is 410533.

Thus, GCF of Fractions is 1/410533.Finally, GCF of Fractions for 7118/589, 9893/697 is 1/410533.