Greatest Common Factor of 992/570, 444/169, 572/291

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 992/570, 444/169, 572/291

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 992/570,444/169,572/291

Given fractions are 992/570,444/169,572/291

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 992,444,572

Greatest Common Factor of Numerators i.e. GCF of 992,444,572 is 4 .

LCM of Denominators means LCM of 570,169,291 as per the given fractions.

LCM of 570,169,291 is 9344010 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 992,444,572

GCF of Fractions 992/570,444/169,572/291 is 4/9344010

2 992, 444, 572
2 496, 222, 286
248, 111, 143

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 992,444,572 By Matching Biggest Common Factor Method

Greatest Common Factor of 992,444,572 By Matching Biggest Common Factor Method

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Greatest Common Factor

We found the factors 992,444,572 . The biggest common factor number is the GCF number.
So the greatest common factor 992,444,572 is 4.

Lets's calculate LCM of 570,169,291

3 570, 169, 291
190, 169, 97

∴ So the LCM of the given numbers is 3 x 190 x 169 x 97 = 9344010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/9344010

Therefore, the GCF of Fractions 992/570,444/169,572/291 is 4/9344010

Least Common Multiple of 570,169,291 with GCF Formula

Least Common Multiple of 570,169,291 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 570,169,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(570,169,291) = 1

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

GCF(570,169,291) x common factors =1 x 3 = 3

LCM(570,169,291) = ( 570 × 169 × 291 ) / 3

LCM(570,169,291) = 28032030 / 3

LCM(570,169,291) = 9344010


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 992/570, 444/169, 572/291

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 992/570, 444/169, 572/291?

Answer: GCF of Numerators as per given numbers 992/570, 444/169, 572/291 is

GCF of Numerators i.e. for 992,444,572 is 4

LCM of denominators i.e. for 570,169,291 is 9344010.

Thus, GCF of Fractions is 4/9344010.Finally, GCF of Fractions for 992/570, 444/169, 572/291 is 4/9344010.