Greatest Common Factor of 568/46, 894/93, 592/966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 568/46, 894/93, 592/966

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 568/46,894/93,592/966

Given fractions are 568/46,894/93,592/966

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 568,894,592

Greatest Common Factor of Numerators i.e. GCF of 568,894,592 is 2 .

LCM of Denominators means LCM of 46,93,966 as per the given fractions.

LCM of 46,93,966 is 29946 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 568,894,592

GCF of Fractions 568/46,894/93,592/966 is 2/29946

2 568, 894, 592
284, 447, 296

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

Greatest Common Factor of 568,894,592 By Matching Biggest Common Factor Method

Greatest Common Factor of 568,894,592 By Matching Biggest Common Factor Method

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Greatest Common Factor

We found the factors 568,894,592 . The biggest common factor number is the GCF number.
So the greatest common factor 568,894,592 is 2.

Lets's calculate LCM of 46,93,966

2 46, 93, 966
3 23, 93, 483
23 23, 31, 161
1, 31, 7

∴ So the LCM of the given numbers is 2 x 3 x 23 x 1 x 31 x 7 = 29946

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/29946

Therefore, the GCF of Fractions 568/46,894/93,592/966 is 2/29946

Least Common Multiple of 46,93,966 with GCF Formula

Least Common Multiple of 46,93,966 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 46,93,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,93,966) = 1

common factors(in case of two or more numbers have common factors) = 138

GCF(46,93,966) x common factors =1 x 138 = 138

LCM(46,93,966) = ( 46 × 93 × 966 ) / 138

LCM(46,93,966) = 4132548 / 138

LCM(46,93,966) = 29946


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 568/46, 894/93, 592/966

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 568/46, 894/93, 592/966?

Answer: GCF of Numerators as per given numbers 568/46, 894/93, 592/966 is

GCF of Numerators i.e. for 568,894,592 is 2

LCM of denominators i.e. for 46,93,966 is 29946.

Thus, GCF of Fractions is 2/29946.Finally, GCF of Fractions for 568/46, 894/93, 592/966 is 2/29946.