Greatest Common Factor of 6/57, 16/93, 79/984, 213/416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6/57, 16/93, 79/984, 213/416

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 6/57,16/93,79/984,213/416

Given fractions are 6/57,16/93,79/984,213/416

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 6,16,79,213

Greatest Common Factor of Numerators i.e. GCF of 6,16,79,213 is 1 .

LCM of Denominators means LCM of 57,93,984,416 as per the given fractions.

LCM of 57,93,984,416 is 30137952 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6,16,79,213

GCF of Fractions 6/57,16/93,79/984,213/416 is 1/30137952

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

Greatest Common Factor of 6,16,79,213 By Matching Biggest Common Factor Method

Greatest Common Factor of 6,16,79,213 By Matching Biggest Common Factor Method

Factors of 6

List of positive integer factors of 6 that divides 6 without a remainder.

1,2,3,6

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Greatest Common Factor

We found the factors 6,16,79,213 . The biggest common factor number is the GCF number.
So the greatest common factor 6,16,79,213 is 1.

Lets's calculate LCM of 57,93,984,416

2 57, 93, 984, 416
2 57, 93, 492, 208
2 57, 93, 246, 104
3 57, 93, 123, 52
19, 31, 41, 52

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 19 x 31 x 41 x 52 = 30137952

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30137952

Therefore, the GCF of Fractions 6/57,16/93,79/984,213/416 is 1/30137952

Least Common Multiple of 57,93,984,416 with GCF Formula

Least Common Multiple of 57,93,984,416 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 57,93,984,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,93,984,416) = 1

common factors(in case of two or more numbers have common factors) = 72

GCF(57,93,984,416) x common factors =1 x 72 = 72

LCM(57,93,984,416) = ( 57 × 93 × 984 × 416 ) / 72

LCM(57,93,984,416) = 2169932544 / 72

LCM(57,93,984,416) = 30137952


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 6/57, 16/93, 79/984, 213/416

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 6/57, 16/93, 79/984, 213/416?

Answer: GCF of Numerators as per given numbers 6/57, 16/93, 79/984, 213/416 is

GCF of Numerators i.e. for 6,16,79,213 is 1

LCM of denominators i.e. for 57,93,984,416 is 30137952.

Thus, GCF of Fractions is 1/30137952.Finally, GCF of Fractions for 6/57, 16/93, 79/984, 213/416 is 1/30137952.