Greatest Common Factor of 8482/31, 9812/302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8482/31, 9812/302

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 8482/31,9812/302

Given fractions are 8482/31,9812/302

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 8482,9812

Greatest Common Factor of Numerators i.e. GCF of 8482,9812 is 2 .

LCM of Denominators means LCM of 31,302 as per the given fractions.

LCM of 31,302 is 9362 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8482,9812

GCF of Fractions 8482/31,9812/302 is 2/9362

2 8482, 9812
4241, 4906

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

Greatest Common Factor of 8482,9812 By Matching Biggest Common Factor Method

Greatest Common Factor of 8482,9812 By Matching Biggest Common Factor Method

Factors of 8482

List of positive integer factors of 8482 that divides 8482 without a remainder.

1,2,4241,8482

Factors of 9812

List of positive integer factors of 9812 that divides 9812 without a remainder.

1,2,4,11,22,44,223,446,892,2453,4906,9812

Greatest Common Factor

We found the factors 8482,9812 . The biggest common factor number is the GCF number.
So the greatest common factor 8482,9812 is 2.

Lets's calculate LCM of 31,302

Given numbers has no common factors except 1. So, there LCM is their product i.e 9362

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9362

Therefore, the GCF of Fractions 8482/31,9812/302 is 2/9362

Least Common Multiple of 31,302 with GCF Formula

Least Common Multiple of 31,302 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 31,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,302) = 1

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

GCF(31,302) x common factors =1 x 1 = 1

LCM(31,302) = ( 31 × 302 ) / 1

LCM(31,302) = 9362 / 1

LCM(31,302) = 9362


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 8482/31, 9812/302

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 8482/31, 9812/302?

Answer: GCF of Numerators as per given numbers 8482/31, 9812/302 is

GCF of Numerators i.e. for 8482,9812 is 2

LCM of denominators i.e. for 31,302 is 9362.

Thus, GCF of Fractions is 2/9362.Finally, GCF of Fractions for 8482/31, 9812/302 is 2/9362.