Greatest Common Factor of 929/44, 573/54, 288/846

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 929/44, 573/54, 288/846

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 929/44,573/54,288/846

Given fractions are 929/44,573/54,288/846

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 929,573,288

Greatest Common Factor of Numerators i.e. GCF of 929,573,288 is 1 .

LCM of Denominators means LCM of 44,54,846 as per the given fractions.

LCM of 44,54,846 is 55836 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 929,573,288

GCF of Fractions 929/44,573/54,288/846 is 1/55836

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

Greatest Common Factor of 929,573,288 By Matching Biggest Common Factor Method

Greatest Common Factor of 929,573,288 By Matching Biggest Common Factor Method

Factors of 929

List of positive integer factors of 929 that divides 929 without a remainder.

1,929

Factors of 573

List of positive integer factors of 573 that divides 573 without a remainder.

1,3,191,573

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Greatest Common Factor

We found the factors 929,573,288 . The biggest common factor number is the GCF number.
So the greatest common factor 929,573,288 is 1.

Lets's calculate LCM of 44,54,846

2 44, 54, 846
3 22, 27, 423
3 22, 9, 141
22, 3, 47

∴ So the LCM of the given numbers is 2 x 3 x 3 x 22 x 3 x 47 = 55836

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55836

Therefore, the GCF of Fractions 929/44,573/54,288/846 is 1/55836

Least Common Multiple of 44,54,846 with GCF Formula

Least Common Multiple of 44,54,846 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 44,54,846 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,54,846) = 2

common factors(in case of two or more numbers have common factors) = 18

GCF(44,54,846) x common factors =2 x 18 = 36

LCM(44,54,846) = ( 44 × 54 × 846 ) / 36

LCM(44,54,846) = 2010096 / 36

LCM(44,54,846) = 55836


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 929/44, 573/54, 288/846

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 929/44, 573/54, 288/846?

Answer: GCF of Numerators as per given numbers 929/44, 573/54, 288/846 is

GCF of Numerators i.e. for 929,573,288 is 1

LCM of denominators i.e. for 44,54,846 is 55836.

Thus, GCF of Fractions is 1/55836.Finally, GCF of Fractions for 929/44, 573/54, 288/846 is 1/55836.