Greatest Common Factor of 579/34, 462/5710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 579/34, 462/5710

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 579/34,462/5710

Given fractions are 579/34,462/5710

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 579,462

Greatest Common Factor of Numerators i.e. GCF of 579,462 is 3 .

LCM of Denominators means LCM of 34,5710 as per the given fractions.

LCM of 34,5710 is 97070 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 579,462

GCF of Fractions 579/34,462/5710 is 3/97070

3 579, 462
193, 154

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 579,462 By Matching Biggest Common Factor Method

Greatest Common Factor of 579,462 By Matching Biggest Common Factor Method

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Greatest Common Factor

We found the factors 579,462 . The biggest common factor number is the GCF number.
So the greatest common factor 579,462 is 3.

Lets's calculate LCM of 34,5710

2 34, 5710
17, 2855

∴ So the LCM of the given numbers is 2 x 17 x 2855 = 97070

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/97070

Therefore, the GCF of Fractions 579/34,462/5710 is 3/97070

Least Common Multiple of 34,5710 with GCF Formula

Least Common Multiple of 34,5710 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 34,5710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,5710) = 2

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

GCF(34,5710) x common factors =2 x 1 = 2

LCM(34,5710) = ( 34 × 5710 ) / 2

LCM(34,5710) = 194140 / 2

LCM(34,5710) = 97070


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 579/34, 462/5710

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 579/34, 462/5710?

Answer: GCF of Numerators as per given numbers 579/34, 462/5710 is

GCF of Numerators i.e. for 579,462 is 3

LCM of denominators i.e. for 34,5710 is 97070.

Thus, GCF of Fractions is 3/97070.Finally, GCF of Fractions for 579/34, 462/5710 is 3/97070.