Greatest Common Factor of 571/585, 767/233

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 571/585, 767/233

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 571/585,767/233

Given fractions are 571/585,767/233

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 571,767

Greatest Common Factor of Numerators i.e. GCF of 571,767 is 1 .

LCM of Denominators means LCM of 585,233 as per the given fractions.

LCM of 585,233 is 136305 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 571,767

GCF of Fractions 571/585,767/233 is 1/136305

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

Greatest Common Factor of 571,767 By Matching Biggest Common Factor Method

Greatest Common Factor of 571,767 By Matching Biggest Common Factor Method

Factors of 571

List of positive integer factors of 571 that divides 571 without a remainder.

1,571

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Greatest Common Factor

We found the factors 571,767 . The biggest common factor number is the GCF number.
So the greatest common factor 571,767 is 1.

Lets's calculate LCM of 585,233

Given numbers has no common factors except 1. So, there LCM is their product i.e 136305

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/136305

Therefore, the GCF of Fractions 571/585,767/233 is 1/136305

Least Common Multiple of 585,233 with GCF Formula

Least Common Multiple of 585,233 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 585,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,233) = 1

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

GCF(585,233) x common factors =1 x 1 = 1

LCM(585,233) = ( 585 × 233 ) / 1

LCM(585,233) = 136305 / 1

LCM(585,233) = 136305


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 571/585, 767/233

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 571/585, 767/233?

Answer: GCF of Numerators as per given numbers 571/585, 767/233 is

GCF of Numerators i.e. for 571,767 is 1

LCM of denominators i.e. for 585,233 is 136305.

Thus, GCF of Fractions is 1/136305.Finally, GCF of Fractions for 571/585, 767/233 is 1/136305.