Greatest Common Factor of 8070/60, 4976/281

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8070/60, 4976/281

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 8070/60,4976/281

Given fractions are 8070/60,4976/281

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 8070,4976

Greatest Common Factor of Numerators i.e. GCF of 8070,4976 is 2 .

LCM of Denominators means LCM of 60,281 as per the given fractions.

LCM of 60,281 is 16860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8070,4976

GCF of Fractions 8070/60,4976/281 is 2/16860

2 8070, 4976
4035, 2488

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

Greatest Common Factor of 8070,4976 By Matching Biggest Common Factor Method

Greatest Common Factor of 8070,4976 By Matching Biggest Common Factor Method

Factors of 8070

List of positive integer factors of 8070 that divides 8070 without a remainder.

1,2,3,5,6,10,15,30,269,538,807,1345,1614,2690,4035,8070

Factors of 4976

List of positive integer factors of 4976 that divides 4976 without a remainder.

1,2,4,8,16,311,622,1244,2488,4976

Greatest Common Factor

We found the factors 8070,4976 . The biggest common factor number is the GCF number.
So the greatest common factor 8070,4976 is 2.

Lets's calculate LCM of 60,281

Given numbers has no common factors except 1. So, there LCM is their product i.e 16860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16860

Therefore, the GCF of Fractions 8070/60,4976/281 is 2/16860

Least Common Multiple of 60,281 with GCF Formula

Least Common Multiple of 60,281 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 60,281 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,281) = 1

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

GCF(60,281) x common factors =1 x 1 = 1

LCM(60,281) = ( 60 × 281 ) / 1

LCM(60,281) = 16860 / 1

LCM(60,281) = 16860


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 8070/60, 4976/281

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 8070/60, 4976/281?

Answer: GCF of Numerators as per given numbers 8070/60, 4976/281 is

GCF of Numerators i.e. for 8070,4976 is 2

LCM of denominators i.e. for 60,281 is 16860.

Thus, GCF of Fractions is 2/16860.Finally, GCF of Fractions for 8070/60, 4976/281 is 2/16860.