Greatest Common Factor of 4/76, 28/12, 31/588, 333/705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4/76, 28/12, 31/588, 333/705

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 4/76,28/12,31/588,333/705

Given fractions are 4/76,28/12,31/588,333/705

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 4,28,31,333

Greatest Common Factor of Numerators i.e. GCF of 4,28,31,333 is 1 .

LCM of Denominators means LCM of 76,12,588,705 as per the given fractions.

LCM of 76,12,588,705 is 2625420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4,28,31,333

GCF of Fractions 4/76,28/12,31/588,333/705 is 1/2625420

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

Greatest Common Factor of 4,28,31,333 By Matching Biggest Common Factor Method

Greatest Common Factor of 4,28,31,333 By Matching Biggest Common Factor Method

Factors of 4

List of positive integer factors of 4 that divides 4 without a remainder.

1,2,4

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Greatest Common Factor

We found the factors 4,28,31,333 . The biggest common factor number is the GCF number.
So the greatest common factor 4,28,31,333 is 1.

Lets's calculate LCM of 76,12,588,705

2 76, 12, 588, 705
2 38, 6, 294, 705
3 19, 3, 147, 705
19, 1, 49, 235

∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 1 x 49 x 235 = 2625420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2625420

Therefore, the GCF of Fractions 4/76,28/12,31/588,333/705 is 1/2625420

Least Common Multiple of 76,12,588,705 with GCF Formula

Least Common Multiple of 76,12,588,705 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 76,12,588,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,12,588,705) = 1

common factors(in case of two or more numbers have common factors) = 144

GCF(76,12,588,705) x common factors =1 x 144 = 144

LCM(76,12,588,705) = ( 76 × 12 × 588 × 705 ) / 144

LCM(76,12,588,705) = 378060480 / 144

LCM(76,12,588,705) = 2625420


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 4/76, 28/12, 31/588, 333/705

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 4/76, 28/12, 31/588, 333/705?

Answer: GCF of Numerators as per given numbers 4/76, 28/12, 31/588, 333/705 is

GCF of Numerators i.e. for 4,28,31,333 is 1

LCM of denominators i.e. for 76,12,588,705 is 2625420.

Thus, GCF of Fractions is 1/2625420.Finally, GCF of Fractions for 4/76, 28/12, 31/588, 333/705 is 1/2625420.