Greatest Common Factor of 480/785, 172/815, 408/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 480/785, 172/815, 408/516

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 480/785,172/815,408/516

Given fractions are 480/785,172/815,408/516

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 480,172,408

Greatest Common Factor of Numerators i.e. GCF of 480,172,408 is 4 .

LCM of Denominators means LCM of 785,815,516 as per the given fractions.

LCM of 785,815,516 is 66024780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 480,172,408

GCF of Fractions 480/785,172/815,408/516 is 4/66024780

2 480, 172, 408
2 240, 86, 204
120, 43, 102

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 480,172,408 By Matching Biggest Common Factor Method

Greatest Common Factor of 480,172,408 By Matching Biggest Common Factor Method

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Greatest Common Factor

We found the factors 480,172,408 . The biggest common factor number is the GCF number.
So the greatest common factor 480,172,408 is 4.

Lets's calculate LCM of 785,815,516

5 785, 815, 516
157, 163, 516

∴ So the LCM of the given numbers is 5 x 157 x 163 x 516 = 66024780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/66024780

Therefore, the GCF of Fractions 480/785,172/815,408/516 is 4/66024780

Least Common Multiple of 785,815,516 with GCF Formula

Least Common Multiple of 785,815,516 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 785,815,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(785,815,516) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(785,815,516) x common factors =1 x 5 = 5

LCM(785,815,516) = ( 785 × 815 × 516 ) / 5

LCM(785,815,516) = 330123900 / 5

LCM(785,815,516) = 66024780


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 480/785, 172/815, 408/516

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 480/785, 172/815, 408/516?

Answer: GCF of Numerators as per given numbers 480/785, 172/815, 408/516 is

GCF of Numerators i.e. for 480,172,408 is 4

LCM of denominators i.e. for 785,815,516 is 66024780.

Thus, GCF of Fractions is 4/66024780.Finally, GCF of Fractions for 480/785, 172/815, 408/516 is 4/66024780.