Greatest Common Factor of 708/592, 5736/574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 708/592, 5736/574

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 708/592,5736/574

Given fractions are 708/592,5736/574

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 708,5736

Greatest Common Factor of Numerators i.e. GCF of 708,5736 is 12 .

LCM of Denominators means LCM of 592,574 as per the given fractions.

LCM of 592,574 is 169904 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 708,5736

GCF of Fractions 708/592,5736/574 is 12/169904

2 708, 5736
2 354, 2868
3 177, 1434
59, 478

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 708,5736 By Matching Biggest Common Factor Method

Greatest Common Factor of 708,5736 By Matching Biggest Common Factor Method

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 5736

List of positive integer factors of 5736 that divides 5736 without a remainder.

1,2,3,4,6,8,12,24,239,478,717,956,1434,1912,2868,5736

Greatest Common Factor

We found the factors 708,5736 . The biggest common factor number is the GCF number.
So the greatest common factor 708,5736 is 12.

Lets's calculate LCM of 592,574

2 592, 574
296, 287

∴ So the LCM of the given numbers is 2 x 296 x 287 = 169904

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/169904

Therefore, the GCF of Fractions 708/592,5736/574 is 12/169904

Least Common Multiple of 592,574 with GCF Formula

Least Common Multiple of 592,574 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 592,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(592,574) = 2

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

GCF(592,574) x common factors =2 x 1 = 2

LCM(592,574) = ( 592 × 574 ) / 2

LCM(592,574) = 339808 / 2

LCM(592,574) = 169904


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 708/592, 5736/574

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 708/592, 5736/574?

Answer: GCF of Numerators as per given numbers 708/592, 5736/574 is

GCF of Numerators i.e. for 708,5736 is 12

LCM of denominators i.e. for 592,574 is 169904.

Thus, GCF of Fractions is 12/169904.Finally, GCF of Fractions for 708/592, 5736/574 is 12/169904.