Greatest Common Factor of 795/565, 380/452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 795/565, 380/452

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 795/565,380/452

Given fractions are 795/565,380/452

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 795,380

Greatest Common Factor of Numerators i.e. GCF of 795,380 is 5 .

LCM of Denominators means LCM of 565,452 as per the given fractions.

LCM of 565,452 is 2260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 795,380

GCF of Fractions 795/565,380/452 is 5/2260

5 795, 380
159, 76

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

Greatest Common Factor of 795,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 795,380 By Matching Biggest Common Factor Method

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Greatest Common Factor

We found the factors 795,380 . The biggest common factor number is the GCF number.
So the greatest common factor 795,380 is 5.

Lets's calculate LCM of 565,452

113 565, 452
5, 4

∴ So the LCM of the given numbers is 113 x 5 x 4 = 2260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2260

Therefore, the GCF of Fractions 795/565,380/452 is 5/2260

Least Common Multiple of 565,452 with GCF Formula

Least Common Multiple of 565,452 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 565,452 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(565,452) = 113

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

GCF(565,452) x common factors =113 x 1 = 113

LCM(565,452) = ( 565 × 452 ) / 113

LCM(565,452) = 255380 / 113

LCM(565,452) = 2260


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 795/565, 380/452

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 795/565, 380/452?

Answer: GCF of Numerators as per given numbers 795/565, 380/452 is

GCF of Numerators i.e. for 795,380 is 5

LCM of denominators i.e. for 565,452 is 2260.

Thus, GCF of Fractions is 5/2260.Finally, GCF of Fractions for 795/565, 380/452 is 5/2260.