Greatest Common Factor of 856/86, 9938/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 856/86, 9938/165

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 856/86,9938/165

Given fractions are 856/86,9938/165

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 856,9938

Greatest Common Factor of Numerators i.e. GCF of 856,9938 is 2 .

LCM of Denominators means LCM of 86,165 as per the given fractions.

LCM of 86,165 is 14190 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 856,9938

GCF of Fractions 856/86,9938/165 is 2/14190

2 856, 9938
428, 4969

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

Greatest Common Factor of 856,9938 By Matching Biggest Common Factor Method

Greatest Common Factor of 856,9938 By Matching Biggest Common Factor Method

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Factors of 9938

List of positive integer factors of 9938 that divides 9938 without a remainder.

1,2,4969,9938

Greatest Common Factor

We found the factors 856,9938 . The biggest common factor number is the GCF number.
So the greatest common factor 856,9938 is 2.

Lets's calculate LCM of 86,165

Given numbers has no common factors except 1. So, there LCM is their product i.e 14190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14190

Therefore, the GCF of Fractions 856/86,9938/165 is 2/14190

Least Common Multiple of 86,165 with GCF Formula

Least Common Multiple of 86,165 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 86,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,165) = 1

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

GCF(86,165) x common factors =1 x 1 = 1

LCM(86,165) = ( 86 × 165 ) / 1

LCM(86,165) = 14190 / 1

LCM(86,165) = 14190


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 856/86, 9938/165

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 856/86, 9938/165?

Answer: GCF of Numerators as per given numbers 856/86, 9938/165 is

GCF of Numerators i.e. for 856,9938 is 2

LCM of denominators i.e. for 86,165 is 14190.

Thus, GCF of Fractions is 2/14190.Finally, GCF of Fractions for 856/86, 9938/165 is 2/14190.