Greatest Common Factor of 3081/568, 6858/3980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3081/568, 6858/3980

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 3081/568,6858/3980

Given fractions are 3081/568,6858/3980

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 3081,6858

Greatest Common Factor of Numerators i.e. GCF of 3081,6858 is 3 .

LCM of Denominators means LCM of 568,3980 as per the given fractions.

LCM of 568,3980 is 565160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3081,6858

GCF of Fractions 3081/568,6858/3980 is 3/565160

3 3081, 6858
1027, 2286

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3081,6858 By Matching Biggest Common Factor Method

Greatest Common Factor of 3081,6858 By Matching Biggest Common Factor Method

Factors of 3081

List of positive integer factors of 3081 that divides 3081 without a remainder.

1,3,13,39,79,237,1027,3081

Factors of 6858

List of positive integer factors of 6858 that divides 6858 without a remainder.

1,2,3,6,9,18,27,54,127,254,381,762,1143,2286,3429,6858

Greatest Common Factor

We found the factors 3081,6858 . The biggest common factor number is the GCF number.
So the greatest common factor 3081,6858 is 3.

Lets's calculate LCM of 568,3980

2 568, 3980
2 284, 1990
142, 995

∴ So the LCM of the given numbers is 2 x 2 x 142 x 995 = 565160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/565160

Therefore, the GCF of Fractions 3081/568,6858/3980 is 3/565160

Least Common Multiple of 568,3980 with GCF Formula

Least Common Multiple of 568,3980 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 568,3980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(568,3980) = 4

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

GCF(568,3980) x common factors =4 x 1 = 4

LCM(568,3980) = ( 568 × 3980 ) / 4

LCM(568,3980) = 2260640 / 4

LCM(568,3980) = 565160


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 3081/568, 6858/3980

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 3081/568, 6858/3980?

Answer: GCF of Numerators as per given numbers 3081/568, 6858/3980 is

GCF of Numerators i.e. for 3081,6858 is 3

LCM of denominators i.e. for 568,3980 is 565160.

Thus, GCF of Fractions is 3/565160.Finally, GCF of Fractions for 3081/568, 6858/3980 is 3/565160.