Greatest Common Factor of 9180/30, 7942/349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9180/30, 7942/349

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 9180/30,7942/349

Given fractions are 9180/30,7942/349

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 9180,7942

Greatest Common Factor of Numerators i.e. GCF of 9180,7942 is 2 .

LCM of Denominators means LCM of 30,349 as per the given fractions.

LCM of 30,349 is 10470 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9180,7942

GCF of Fractions 9180/30,7942/349 is 2/10470

2 9180, 7942
4590, 3971

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

Greatest Common Factor of 9180,7942 By Matching Biggest Common Factor Method

Greatest Common Factor of 9180,7942 By Matching Biggest Common Factor Method

Factors of 9180

List of positive integer factors of 9180 that divides 9180 without a remainder.

1,2,3,4,5,6,9,10,12,15,17,18,20,27,30,34,36,45,51,54,60,68,85,90,102,108,135,153,170,180,204,255,270,306,340,459,510,540,612,765,918,1020,1530,1836,2295,3060,4590,9180

Factors of 7942

List of positive integer factors of 7942 that divides 7942 without a remainder.

1,2,11,19,22,38,209,361,418,722,3971,7942

Greatest Common Factor

We found the factors 9180,7942 . The biggest common factor number is the GCF number.
So the greatest common factor 9180,7942 is 2.

Lets's calculate LCM of 30,349

Given numbers has no common factors except 1. So, there LCM is their product i.e 10470

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10470

Therefore, the GCF of Fractions 9180/30,7942/349 is 2/10470

Least Common Multiple of 30,349 with GCF Formula

Least Common Multiple of 30,349 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 30,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,349) = 1

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

GCF(30,349) x common factors =1 x 1 = 1

LCM(30,349) = ( 30 × 349 ) / 1

LCM(30,349) = 10470 / 1

LCM(30,349) = 10470


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 9180/30, 7942/349

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 9180/30, 7942/349?

Answer: GCF of Numerators as per given numbers 9180/30, 7942/349 is

GCF of Numerators i.e. for 9180,7942 is 2

LCM of denominators i.e. for 30,349 is 10470.

Thus, GCF of Fractions is 2/10470.Finally, GCF of Fractions for 9180/30, 7942/349 is 2/10470.