Greatest Common Factor of 580/464, 766/786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 580/464, 766/786

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 580/464,766/786

Given fractions are 580/464,766/786

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 580,766

Greatest Common Factor of Numerators i.e. GCF of 580,766 is 2 .

LCM of Denominators means LCM of 464,786 as per the given fractions.

LCM of 464,786 is 182352 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 580,766

GCF of Fractions 580/464,766/786 is 2/182352

2 580, 766
290, 383

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

Greatest Common Factor of 580,766 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,766 By Matching Biggest Common Factor Method

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Greatest Common Factor

We found the factors 580,766 . The biggest common factor number is the GCF number.
So the greatest common factor 580,766 is 2.

Lets's calculate LCM of 464,786

2 464, 786
232, 393

∴ So the LCM of the given numbers is 2 x 232 x 393 = 182352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/182352

Therefore, the GCF of Fractions 580/464,766/786 is 2/182352

Least Common Multiple of 464,786 with GCF Formula

Least Common Multiple of 464,786 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 464,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,786) = 2

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

GCF(464,786) x common factors =2 x 1 = 2

LCM(464,786) = ( 464 × 786 ) / 2

LCM(464,786) = 364704 / 2

LCM(464,786) = 182352


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 580/464, 766/786

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 580/464, 766/786?

Answer: GCF of Numerators as per given numbers 580/464, 766/786 is

GCF of Numerators i.e. for 580,766 is 2

LCM of denominators i.e. for 464,786 is 182352.

Thus, GCF of Fractions is 2/182352.Finally, GCF of Fractions for 580/464, 766/786 is 2/182352.