Greatest Common Factor of 4140/270, 8761/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4140/270, 8761/642

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 4140/270,8761/642

Given fractions are 4140/270,8761/642

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 4140,8761

Greatest Common Factor of Numerators i.e. GCF of 4140,8761 is 1 .

LCM of Denominators means LCM of 270,642 as per the given fractions.

LCM of 270,642 is 28890 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4140,8761

GCF of Fractions 4140/270,8761/642 is 1/28890

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4140,8761 By Matching Biggest Common Factor Method

Greatest Common Factor of 4140,8761 By Matching Biggest Common Factor Method

Factors of 4140

List of positive integer factors of 4140 that divides 4140 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,23,30,36,45,46,60,69,90,92,115,138,180,207,230,276,345,414,460,690,828,1035,1380,2070,4140

Factors of 8761

List of positive integer factors of 8761 that divides 8761 without a remainder.

1,8761

Greatest Common Factor

We found the factors 4140,8761 . The biggest common factor number is the GCF number.
So the greatest common factor 4140,8761 is 1.

Lets's calculate LCM of 270,642

2 270, 642
3 135, 321
45, 107

∴ So the LCM of the given numbers is 2 x 3 x 45 x 107 = 28890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28890

Therefore, the GCF of Fractions 4140/270,8761/642 is 1/28890

Least Common Multiple of 270,642 with GCF Formula

Least Common Multiple of 270,642 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 270,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,642) = 6

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

GCF(270,642) x common factors =6 x 1 = 6

LCM(270,642) = ( 270 × 642 ) / 6

LCM(270,642) = 173340 / 6

LCM(270,642) = 28890


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 4140/270, 8761/642

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 4140/270, 8761/642?

Answer: GCF of Numerators as per given numbers 4140/270, 8761/642 is

GCF of Numerators i.e. for 4140,8761 is 1

LCM of denominators i.e. for 270,642 is 28890.

Thus, GCF of Fractions is 1/28890.Finally, GCF of Fractions for 4140/270, 8761/642 is 1/28890.