Greatest Common Factor of 8682/482, 3246/981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8682/482, 3246/981

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 8682/482,3246/981

Given fractions are 8682/482,3246/981

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 8682,3246

Greatest Common Factor of Numerators i.e. GCF of 8682,3246 is 6 .

LCM of Denominators means LCM of 482,981 as per the given fractions.

LCM of 482,981 is 472842 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8682,3246

GCF of Fractions 8682/482,3246/981 is 6/472842

2 8682, 3246
3 4341, 1623
1447, 541

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 8682,3246 By Matching Biggest Common Factor Method

Greatest Common Factor of 8682,3246 By Matching Biggest Common Factor Method

Factors of 8682

List of positive integer factors of 8682 that divides 8682 without a remainder.

1,2,3,6,1447,2894,4341,8682

Factors of 3246

List of positive integer factors of 3246 that divides 3246 without a remainder.

1,2,3,6,541,1082,1623,3246

Greatest Common Factor

We found the factors 8682,3246 . The biggest common factor number is the GCF number.
So the greatest common factor 8682,3246 is 6.

Lets's calculate LCM of 482,981

Given numbers has no common factors except 1. So, there LCM is their product i.e 472842

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/472842

Therefore, the GCF of Fractions 8682/482,3246/981 is 6/472842

Least Common Multiple of 482,981 with GCF Formula

Least Common Multiple of 482,981 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 482,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(482,981) = 1

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

GCF(482,981) x common factors =1 x 1 = 1

LCM(482,981) = ( 482 × 981 ) / 1

LCM(482,981) = 472842 / 1

LCM(482,981) = 472842


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 8682/482, 3246/981

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 8682/482, 3246/981?

Answer: GCF of Numerators as per given numbers 8682/482, 3246/981 is

GCF of Numerators i.e. for 8682,3246 is 6

LCM of denominators i.e. for 482,981 is 472842.

Thus, GCF of Fractions is 6/472842.Finally, GCF of Fractions for 8682/482, 3246/981 is 6/472842.