Greatest Common Factor of 80/316, 642/613, 334/624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 80/316, 642/613, 334/624

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 80/316,642/613,334/624

Given fractions are 80/316,642/613,334/624

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 80,642,334

Greatest Common Factor of Numerators i.e. GCF of 80,642,334 is 2 .

LCM of Denominators means LCM of 316,613,624 as per the given fractions.

LCM of 316,613,624 is 30218448 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 80,642,334

GCF of Fractions 80/316,642/613,334/624 is 2/30218448

2 80, 642, 334
40, 321, 167

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

Greatest Common Factor of 80,642,334 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,642,334 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Greatest Common Factor

We found the factors 80,642,334 . The biggest common factor number is the GCF number.
So the greatest common factor 80,642,334 is 2.

Lets's calculate LCM of 316,613,624

2 316, 613, 624
2 158, 613, 312
79, 613, 156

∴ So the LCM of the given numbers is 2 x 2 x 79 x 613 x 156 = 30218448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/30218448

Therefore, the GCF of Fractions 80/316,642/613,334/624 is 2/30218448

Least Common Multiple of 316,613,624 with GCF Formula

Least Common Multiple of 316,613,624 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 316,613,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(316,613,624) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(316,613,624) x common factors =1 x 4 = 4

LCM(316,613,624) = ( 316 × 613 × 624 ) / 4

LCM(316,613,624) = 120873792 / 4

LCM(316,613,624) = 30218448


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 80/316, 642/613, 334/624

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 80/316, 642/613, 334/624?

Answer: GCF of Numerators as per given numbers 80/316, 642/613, 334/624 is

GCF of Numerators i.e. for 80,642,334 is 2

LCM of denominators i.e. for 316,613,624 is 30218448.

Thus, GCF of Fractions is 2/30218448.Finally, GCF of Fractions for 80/316, 642/613, 334/624 is 2/30218448.