Greatest Common Factor of 473/87, 131/20, 323/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 473/87, 131/20, 323/213

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 473/87,131/20,323/213

Given fractions are 473/87,131/20,323/213

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 473,131,323

Greatest Common Factor of Numerators i.e. GCF of 473,131,323 is 1 .

LCM of Denominators means LCM of 87,20,213 as per the given fractions.

LCM of 87,20,213 is 123540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 473,131,323

GCF of Fractions 473/87,131/20,323/213 is 1/123540

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

Greatest Common Factor of 473,131,323 By Matching Biggest Common Factor Method

Greatest Common Factor of 473,131,323 By Matching Biggest Common Factor Method

Factors of 473

List of positive integer factors of 473 that divides 473 without a remainder.

1,11,43,473

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Greatest Common Factor

We found the factors 473,131,323 . The biggest common factor number is the GCF number.
So the greatest common factor 473,131,323 is 1.

Lets's calculate LCM of 87,20,213

3 87, 20, 213
29, 20, 71

∴ So the LCM of the given numbers is 3 x 29 x 20 x 71 = 123540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/123540

Therefore, the GCF of Fractions 473/87,131/20,323/213 is 1/123540

Least Common Multiple of 87,20,213 with GCF Formula

Least Common Multiple of 87,20,213 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 87,20,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,20,213) = 1

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

GCF(87,20,213) x common factors =1 x 3 = 3

LCM(87,20,213) = ( 87 × 20 × 213 ) / 3

LCM(87,20,213) = 370620 / 3

LCM(87,20,213) = 123540


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 473/87, 131/20, 323/213

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 473/87, 131/20, 323/213?

Answer: GCF of Numerators as per given numbers 473/87, 131/20, 323/213 is

GCF of Numerators i.e. for 473,131,323 is 1

LCM of denominators i.e. for 87,20,213 is 123540.

Thus, GCF of Fractions is 1/123540.Finally, GCF of Fractions for 473/87, 131/20, 323/213 is 1/123540.