Greatest Common Factor of 8486/981, 3180/2033

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8486/981, 3180/2033

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 8486/981,3180/2033

Given fractions are 8486/981,3180/2033

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 8486,3180

Greatest Common Factor of Numerators i.e. GCF of 8486,3180 is 2 .

LCM of Denominators means LCM of 981,2033 as per the given fractions.

LCM of 981,2033 is 1994373 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8486,3180

GCF of Fractions 8486/981,3180/2033 is 2/1994373

2 8486, 3180
4243, 1590

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

Greatest Common Factor of 8486,3180 By Matching Biggest Common Factor Method

Greatest Common Factor of 8486,3180 By Matching Biggest Common Factor Method

Factors of 8486

List of positive integer factors of 8486 that divides 8486 without a remainder.

1,2,4243,8486

Factors of 3180

List of positive integer factors of 3180 that divides 3180 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,53,60,106,159,212,265,318,530,636,795,1060,1590,3180

Greatest Common Factor

We found the factors 8486,3180 . The biggest common factor number is the GCF number.
So the greatest common factor 8486,3180 is 2.

Lets's calculate LCM of 981,2033

Given numbers has no common factors except 1. So, there LCM is their product i.e 1994373

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1994373

Therefore, the GCF of Fractions 8486/981,3180/2033 is 2/1994373

Least Common Multiple of 981,2033 with GCF Formula

Least Common Multiple of 981,2033 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 981,2033 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(981,2033) = 1

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

GCF(981,2033) x common factors =1 x 1 = 1

LCM(981,2033) = ( 981 × 2033 ) / 1

LCM(981,2033) = 1994373 / 1

LCM(981,2033) = 1994373


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 8486/981, 3180/2033

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 8486/981, 3180/2033?

Answer: GCF of Numerators as per given numbers 8486/981, 3180/2033 is

GCF of Numerators i.e. for 8486,3180 is 2

LCM of denominators i.e. for 981,2033 is 1994373.

Thus, GCF of Fractions is 2/1994373.Finally, GCF of Fractions for 8486/981, 3180/2033 is 2/1994373.