Greatest Common Factor of 8713/110, 8382/895

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8713/110, 8382/895

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 8713/110,8382/895

Given fractions are 8713/110,8382/895

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 8713,8382

Greatest Common Factor of Numerators i.e. GCF of 8713,8382 is 1 .

LCM of Denominators means LCM of 110,895 as per the given fractions.

LCM of 110,895 is 19690 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8713,8382

GCF of Fractions 8713/110,8382/895 is 1/19690

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

Greatest Common Factor of 8713,8382 By Matching Biggest Common Factor Method

Greatest Common Factor of 8713,8382 By Matching Biggest Common Factor Method

Factors of 8713

List of positive integer factors of 8713 that divides 8713 without a remainder.

1,8713

Factors of 8382

List of positive integer factors of 8382 that divides 8382 without a remainder.

1,2,3,6,11,22,33,66,127,254,381,762,1397,2794,4191,8382

Greatest Common Factor

We found the factors 8713,8382 . The biggest common factor number is the GCF number.
So the greatest common factor 8713,8382 is 1.

Lets's calculate LCM of 110,895

5 110, 895
22, 179

∴ So the LCM of the given numbers is 5 x 22 x 179 = 19690

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19690

Therefore, the GCF of Fractions 8713/110,8382/895 is 1/19690

Least Common Multiple of 110,895 with GCF Formula

Least Common Multiple of 110,895 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 110,895 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(110,895) = 5

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

GCF(110,895) x common factors =5 x 1 = 5

LCM(110,895) = ( 110 × 895 ) / 5

LCM(110,895) = 98450 / 5

LCM(110,895) = 19690


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 8713/110, 8382/895

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 8713/110, 8382/895?

Answer: GCF of Numerators as per given numbers 8713/110, 8382/895 is

GCF of Numerators i.e. for 8713,8382 is 1

LCM of denominators i.e. for 110,895 is 19690.

Thus, GCF of Fractions is 1/19690.Finally, GCF of Fractions for 8713/110, 8382/895 is 1/19690.