Greatest Common Factor of 596/4972, 288/1734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 596/4972, 288/1734

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 596/4972,288/1734

Given fractions are 596/4972,288/1734

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 596,288

Greatest Common Factor of Numerators i.e. GCF of 596,288 is 4 .

LCM of Denominators means LCM of 4972,1734 as per the given fractions.

LCM of 4972,1734 is 4310724 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 596,288

GCF of Fractions 596/4972,288/1734 is 4/4310724

2 596, 288
2 298, 144
149, 72

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

Greatest Common Factor of 596,288 By Matching Biggest Common Factor Method

Greatest Common Factor of 596,288 By Matching Biggest Common Factor Method

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

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 596,288 . The biggest common factor number is the GCF number.
So the greatest common factor 596,288 is 4.

Lets's calculate LCM of 4972,1734

2 4972, 1734
2486, 867

∴ So the LCM of the given numbers is 2 x 2486 x 867 = 4310724

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4310724

Therefore, the GCF of Fractions 596/4972,288/1734 is 4/4310724

Least Common Multiple of 4972,1734 with GCF Formula

Least Common Multiple of 4972,1734 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 4972,1734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4972,1734) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(4972,1734) x common factors =2 x 1 = 2

LCM(4972,1734) = ( 4972 × 1734 ) / 2

LCM(4972,1734) = 8621448 / 2

LCM(4972,1734) = 4310724


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 596/4972, 288/1734

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 596/4972, 288/1734?

Answer: GCF of Numerators as per given numbers 596/4972, 288/1734 is

GCF of Numerators i.e. for 596,288 is 4

LCM of denominators i.e. for 4972,1734 is 4310724.

Thus, GCF of Fractions is 4/4310724.Finally, GCF of Fractions for 596/4972, 288/1734 is 4/4310724.