Greatest Common Factor of 9382/85, 9852/842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9382/85, 9852/842

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 9382/85,9852/842

Given fractions are 9382/85,9852/842

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 9382,9852

Greatest Common Factor of Numerators i.e. GCF of 9382,9852 is 2 .

LCM of Denominators means LCM of 85,842 as per the given fractions.

LCM of 85,842 is 71570 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9382,9852

GCF of Fractions 9382/85,9852/842 is 2/71570

2 9382, 9852
4691, 4926

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

Greatest Common Factor of 9382,9852 By Matching Biggest Common Factor Method

Greatest Common Factor of 9382,9852 By Matching Biggest Common Factor Method

Factors of 9382

List of positive integer factors of 9382 that divides 9382 without a remainder.

1,2,4691,9382

Factors of 9852

List of positive integer factors of 9852 that divides 9852 without a remainder.

1,2,3,4,6,12,821,1642,2463,3284,4926,9852

Greatest Common Factor

We found the factors 9382,9852 . The biggest common factor number is the GCF number.
So the greatest common factor 9382,9852 is 2.

Lets's calculate LCM of 85,842

Given numbers has no common factors except 1. So, there LCM is their product i.e 71570

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/71570

Therefore, the GCF of Fractions 9382/85,9852/842 is 2/71570

Least Common Multiple of 85,842 with GCF Formula

Least Common Multiple of 85,842 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 85,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,842) = 1

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

GCF(85,842) x common factors =1 x 1 = 1

LCM(85,842) = ( 85 × 842 ) / 1

LCM(85,842) = 71570 / 1

LCM(85,842) = 71570


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 9382/85, 9852/842

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 9382/85, 9852/842?

Answer: GCF of Numerators as per given numbers 9382/85, 9852/842 is

GCF of Numerators i.e. for 9382,9852 is 2

LCM of denominators i.e. for 85,842 is 71570.

Thus, GCF of Fractions is 2/71570.Finally, GCF of Fractions for 9382/85, 9852/842 is 2/71570.