Greatest Common Factor of 3030/80, 7180/862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3030/80, 7180/862

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 3030/80,7180/862

Given fractions are 3030/80,7180/862

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 3030,7180

Greatest Common Factor of Numerators i.e. GCF of 3030,7180 is 10 .

LCM of Denominators means LCM of 80,862 as per the given fractions.

LCM of 80,862 is 34480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3030,7180

GCF of Fractions 3030/80,7180/862 is 10/34480

2 3030, 7180
5 1515, 3590
303, 718

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 3030,7180 By Matching Biggest Common Factor Method

Greatest Common Factor of 3030,7180 By Matching Biggest Common Factor Method

Factors of 3030

List of positive integer factors of 3030 that divides 3030 without a remainder.

1,2,3,5,6,10,15,30,101,202,303,505,606,1010,1515,3030

Factors of 7180

List of positive integer factors of 7180 that divides 7180 without a remainder.

1,2,4,5,10,20,359,718,1436,1795,3590,7180

Greatest Common Factor

We found the factors 3030,7180 . The biggest common factor number is the GCF number.
So the greatest common factor 3030,7180 is 10.

Lets's calculate LCM of 80,862

2 80, 862
40, 431

∴ So the LCM of the given numbers is 2 x 40 x 431 = 34480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/34480

Therefore, the GCF of Fractions 3030/80,7180/862 is 10/34480

Least Common Multiple of 80,862 with GCF Formula

Least Common Multiple of 80,862 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 80,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,862) = 2

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

GCF(80,862) x common factors =2 x 1 = 2

LCM(80,862) = ( 80 × 862 ) / 2

LCM(80,862) = 68960 / 2

LCM(80,862) = 34480


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 3030/80, 7180/862

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 3030/80, 7180/862?

Answer: GCF of Numerators as per given numbers 3030/80, 7180/862 is

GCF of Numerators i.e. for 3030,7180 is 10

LCM of denominators i.e. for 80,862 is 34480.

Thus, GCF of Fractions is 10/34480.Finally, GCF of Fractions for 3030/80, 7180/862 is 10/34480.