Greatest Common Factor of 806/749, 412/975, 598/591

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 806/749, 412/975, 598/591

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 806/749,412/975,598/591

Given fractions are 806/749,412/975,598/591

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 806,412,598

Greatest Common Factor of Numerators i.e. GCF of 806,412,598 is 2 .

LCM of Denominators means LCM of 749,975,591 as per the given fractions.

LCM of 749,975,591 is 143864175 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 806,412,598

GCF of Fractions 806/749,412/975,598/591 is 2/143864175

2 806, 412, 598
403, 206, 299

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

Greatest Common Factor of 806,412,598 By Matching Biggest Common Factor Method

Greatest Common Factor of 806,412,598 By Matching Biggest Common Factor Method

Factors of 806

List of positive integer factors of 806 that divides 806 without a remainder.

1,2,13,26,31,62,403,806

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Greatest Common Factor

We found the factors 806,412,598 . The biggest common factor number is the GCF number.
So the greatest common factor 806,412,598 is 2.

Lets's calculate LCM of 749,975,591

3 749, 975, 591
749, 325, 197

∴ So the LCM of the given numbers is 3 x 749 x 325 x 197 = 143864175

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/143864175

Therefore, the GCF of Fractions 806/749,412/975,598/591 is 2/143864175

Least Common Multiple of 749,975,591 with GCF Formula

Least Common Multiple of 749,975,591 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 749,975,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,975,591) = 1

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

GCF(749,975,591) x common factors =1 x 3 = 3

LCM(749,975,591) = ( 749 × 975 × 591 ) / 3

LCM(749,975,591) = 431592525 / 3

LCM(749,975,591) = 143864175


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 806/749, 412/975, 598/591

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 806/749, 412/975, 598/591?

Answer: GCF of Numerators as per given numbers 806/749, 412/975, 598/591 is

GCF of Numerators i.e. for 806,412,598 is 2

LCM of denominators i.e. for 749,975,591 is 143864175.

Thus, GCF of Fractions is 2/143864175.Finally, GCF of Fractions for 806/749, 412/975, 598/591 is 2/143864175.