Greatest Common Factor of 470/30, 968/39, 410/27

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 470/30, 968/39, 410/27

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 470/30,968/39,410/27

Given fractions are 470/30,968/39,410/27

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 470,968,410

Greatest Common Factor of Numerators i.e. GCF of 470,968,410 is 2 .

LCM of Denominators means LCM of 30,39,27 as per the given fractions.

LCM of 30,39,27 is 3510 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 470,968,410

GCF of Fractions 470/30,968/39,410/27 is 2/3510

2 470, 968, 410
235, 484, 205

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

Greatest Common Factor of 470,968,410 By Matching Biggest Common Factor Method

Greatest Common Factor of 470,968,410 By Matching Biggest Common Factor Method

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Greatest Common Factor

We found the factors 470,968,410 . The biggest common factor number is the GCF number.
So the greatest common factor 470,968,410 is 2.

Lets's calculate LCM of 30,39,27

3 30, 39, 27
10, 13, 9

∴ So the LCM of the given numbers is 3 x 10 x 13 x 9 = 3510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3510

Therefore, the GCF of Fractions 470/30,968/39,410/27 is 2/3510

Least Common Multiple of 30,39,27 with GCF Formula

Least Common Multiple of 30,39,27 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 30,39,27 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,39,27) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(30,39,27) x common factors =3 x 3 = 9

LCM(30,39,27) = ( 30 × 39 × 27 ) / 9

LCM(30,39,27) = 31590 / 9

LCM(30,39,27) = 3510


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 470/30, 968/39, 410/27

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 470/30, 968/39, 410/27?

Answer: GCF of Numerators as per given numbers 470/30, 968/39, 410/27 is

GCF of Numerators i.e. for 470,968,410 is 2

LCM of denominators i.e. for 30,39,27 is 3510.

Thus, GCF of Fractions is 2/3510.Finally, GCF of Fractions for 470/30, 968/39, 410/27 is 2/3510.