Greatest Common Factor of 226/580, 343/780, 691/759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 226/580, 343/780, 691/759

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 226/580,343/780,691/759

Given fractions are 226/580,343/780,691/759

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 226,343,691

Greatest Common Factor of Numerators i.e. GCF of 226,343,691 is 1 .

LCM of Denominators means LCM of 580,780,759 as per the given fractions.

LCM of 580,780,759 is 5722860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 226,343,691

GCF of Fractions 226/580,343/780,691/759 is 1/5722860

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 226,343,691 By Matching Biggest Common Factor Method

Greatest Common Factor of 226,343,691 By Matching Biggest Common Factor Method

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Factors of 691

List of positive integer factors of 691 that divides 691 without a remainder.

1,691

Greatest Common Factor

We found the factors 226,343,691 . The biggest common factor number is the GCF number.
So the greatest common factor 226,343,691 is 1.

Lets's calculate LCM of 580,780,759

2 580, 780, 759
2 290, 390, 759
3 145, 195, 759
5 145, 65, 253
29, 13, 253

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 29 x 13 x 253 = 5722860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5722860

Therefore, the GCF of Fractions 226/580,343/780,691/759 is 1/5722860

Least Common Multiple of 580,780,759 with GCF Formula

Least Common Multiple of 580,780,759 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 580,780,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(580,780,759) = 1

common factors(in case of two or more numbers have common factors) = 60

GCF(580,780,759) x common factors =1 x 60 = 60

LCM(580,780,759) = ( 580 × 780 × 759 ) / 60

LCM(580,780,759) = 343371600 / 60

LCM(580,780,759) = 5722860


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 226/580, 343/780, 691/759

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 226/580, 343/780, 691/759?

Answer: GCF of Numerators as per given numbers 226/580, 343/780, 691/759 is

GCF of Numerators i.e. for 226,343,691 is 1

LCM of denominators i.e. for 580,780,759 is 5722860.

Thus, GCF of Fractions is 1/5722860.Finally, GCF of Fractions for 226/580, 343/780, 691/759 is 1/5722860.