Greatest Common Factor of 565/604, 452/166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 565/604, 452/166

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 565/604,452/166

Given fractions are 565/604,452/166

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 565,452

Greatest Common Factor of Numerators i.e. GCF of 565,452 is 113 .

LCM of Denominators means LCM of 604,166 as per the given fractions.

LCM of 604,166 is 50132 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 565,452

GCF of Fractions 565/604,452/166 is 113/50132

113 565, 452
5, 4

∴ So the GCF of the given numbers is 113 = 113

Greatest Common Factor of 565,452 By Matching Biggest Common Factor Method

Greatest Common Factor of 565,452 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 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Greatest Common Factor

We found the factors 565,452 . The biggest common factor number is the GCF number.
So the greatest common factor 565,452 is 113.

Lets's calculate LCM of 604,166

2 604, 166
302, 83

∴ So the LCM of the given numbers is 2 x 302 x 83 = 50132

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 113/50132

Therefore, the GCF of Fractions 565/604,452/166 is 113/50132

Least Common Multiple of 604,166 with GCF Formula

Least Common Multiple of 604,166 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 604,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,166) = 2

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

GCF(604,166) x common factors =2 x 1 = 2

LCM(604,166) = ( 604 × 166 ) / 2

LCM(604,166) = 100264 / 2

LCM(604,166) = 50132


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 565/604, 452/166

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 565/604, 452/166?

Answer: GCF of Numerators as per given numbers 565/604, 452/166 is

GCF of Numerators i.e. for 565,452 is 113

LCM of denominators i.e. for 604,166 is 50132.

Thus, GCF of Fractions is 113/50132.Finally, GCF of Fractions for 565/604, 452/166 is 113/50132.