Greatest Common Factor of 565/61, 3580/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 565/61, 3580/464

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 565/61,3580/464

Given fractions are 565/61,3580/464

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 565,3580

Greatest Common Factor of Numerators i.e. GCF of 565,3580 is 5 .

LCM of Denominators means LCM of 61,464 as per the given fractions.

LCM of 61,464 is 28304 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 565,3580

GCF of Fractions 565/61,3580/464 is 5/28304

5 565, 3580
113, 716

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 565,3580 By Matching Biggest Common Factor Method

Greatest Common Factor of 565,3580 By Matching Biggest Common Factor Method

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Factors of 3580

List of positive integer factors of 3580 that divides 3580 without a remainder.

1,2,4,5,10,20,179,358,716,895,1790,3580

Greatest Common Factor

We found the factors 565,3580 . The biggest common factor number is the GCF number.
So the greatest common factor 565,3580 is 5.

Lets's calculate LCM of 61,464

Given numbers has no common factors except 1. So, there LCM is their product i.e 28304

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/28304

Therefore, the GCF of Fractions 565/61,3580/464 is 5/28304

Least Common Multiple of 61,464 with GCF Formula

Least Common Multiple of 61,464 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 61,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,464) = 1

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

GCF(61,464) x common factors =1 x 1 = 1

LCM(61,464) = ( 61 × 464 ) / 1

LCM(61,464) = 28304 / 1

LCM(61,464) = 28304


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 565/61, 3580/464

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 565/61, 3580/464?

Answer: GCF of Numerators as per given numbers 565/61, 3580/464 is

GCF of Numerators i.e. for 565,3580 is 5

LCM of denominators i.e. for 61,464 is 28304.

Thus, GCF of Fractions is 5/28304.Finally, GCF of Fractions for 565/61, 3580/464 is 5/28304.