Greatest Common Factor of 478/82, 474/87, 560/330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 478/82, 474/87, 560/330

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 478/82,474/87,560/330

Given fractions are 478/82,474/87,560/330

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 478,474,560

Greatest Common Factor of Numerators i.e. GCF of 478,474,560 is 2 .

LCM of Denominators means LCM of 82,87,330 as per the given fractions.

LCM of 82,87,330 is 392370 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 478,474,560

GCF of Fractions 478/82,474/87,560/330 is 2/392370

2 478, 474, 560
239, 237, 280

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

Greatest Common Factor of 478,474,560 By Matching Biggest Common Factor Method

Greatest Common Factor of 478,474,560 By Matching Biggest Common Factor Method

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Greatest Common Factor

We found the factors 478,474,560 . The biggest common factor number is the GCF number.
So the greatest common factor 478,474,560 is 2.

Lets's calculate LCM of 82,87,330

2 82, 87, 330
3 41, 87, 165
41, 29, 55

∴ So the LCM of the given numbers is 2 x 3 x 41 x 29 x 55 = 392370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/392370

Therefore, the GCF of Fractions 478/82,474/87,560/330 is 2/392370

Least Common Multiple of 82,87,330 with GCF Formula

Least Common Multiple of 82,87,330 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 82,87,330 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,87,330) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(82,87,330) x common factors =1 x 6 = 6

LCM(82,87,330) = ( 82 × 87 × 330 ) / 6

LCM(82,87,330) = 2354220 / 6

LCM(82,87,330) = 392370


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 478/82, 474/87, 560/330

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 478/82, 474/87, 560/330?

Answer: GCF of Numerators as per given numbers 478/82, 474/87, 560/330 is

GCF of Numerators i.e. for 478,474,560 is 2

LCM of denominators i.e. for 82,87,330 is 392370.

Thus, GCF of Fractions is 2/392370.Finally, GCF of Fractions for 478/82, 474/87, 560/330 is 2/392370.