Greatest Common Factor of 5190/30, 2357/666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5190/30, 2357/666

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 5190/30,2357/666

Given fractions are 5190/30,2357/666

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 5190,2357

Greatest Common Factor of Numerators i.e. GCF of 5190,2357 is 1 .

LCM of Denominators means LCM of 30,666 as per the given fractions.

LCM of 30,666 is 3330 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5190,2357

GCF of Fractions 5190/30,2357/666 is 1/3330

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

Greatest Common Factor of 5190,2357 By Matching Biggest Common Factor Method

Greatest Common Factor of 5190,2357 By Matching Biggest Common Factor Method

Factors of 5190

List of positive integer factors of 5190 that divides 5190 without a remainder.

1,2,3,5,6,10,15,30,173,346,519,865,1038,1730,2595,5190

Factors of 2357

List of positive integer factors of 2357 that divides 2357 without a remainder.

1,2357

Greatest Common Factor

We found the factors 5190,2357 . The biggest common factor number is the GCF number.
So the greatest common factor 5190,2357 is 1.

Lets's calculate LCM of 30,666

2 30, 666
3 15, 333
5, 111

∴ So the LCM of the given numbers is 2 x 3 x 5 x 111 = 3330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3330

Therefore, the GCF of Fractions 5190/30,2357/666 is 1/3330

Least Common Multiple of 30,666 with GCF Formula

Least Common Multiple of 30,666 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 30,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,666) = 6

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

GCF(30,666) x common factors =6 x 1 = 6

LCM(30,666) = ( 30 × 666 ) / 6

LCM(30,666) = 19980 / 6

LCM(30,666) = 3330


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 5190/30, 2357/666

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 5190/30, 2357/666?

Answer: GCF of Numerators as per given numbers 5190/30, 2357/666 is

GCF of Numerators i.e. for 5190,2357 is 1

LCM of denominators i.e. for 30,666 is 3330.

Thus, GCF of Fractions is 1/3330.Finally, GCF of Fractions for 5190/30, 2357/666 is 1/3330.