Greatest Common Factor of 569/120, 1367/359

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 569/120, 1367/359

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 569/120,1367/359

Given fractions are 569/120,1367/359

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 569,1367

Greatest Common Factor of Numerators i.e. GCF of 569,1367 is 1 .

LCM of Denominators means LCM of 120,359 as per the given fractions.

LCM of 120,359 is 43080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 569,1367

GCF of Fractions 569/120,1367/359 is 1/43080

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

Greatest Common Factor of 569,1367 By Matching Biggest Common Factor Method

Greatest Common Factor of 569,1367 By Matching Biggest Common Factor Method

Factors of 569

List of positive integer factors of 569 that divides 569 without a remainder.

1,569

Factors of 1367

List of positive integer factors of 1367 that divides 1367 without a remainder.

1,1367

Greatest Common Factor

We found the factors 569,1367 . The biggest common factor number is the GCF number.
So the greatest common factor 569,1367 is 1.

Lets's calculate LCM of 120,359

Given numbers has no common factors except 1. So, there LCM is their product i.e 43080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43080

Therefore, the GCF of Fractions 569/120,1367/359 is 1/43080

Least Common Multiple of 120,359 with GCF Formula

Least Common Multiple of 120,359 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 120,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(120,359) = 1

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

GCF(120,359) x common factors =1 x 1 = 1

LCM(120,359) = ( 120 × 359 ) / 1

LCM(120,359) = 43080 / 1

LCM(120,359) = 43080


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 569/120, 1367/359

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 569/120, 1367/359?

Answer: GCF of Numerators as per given numbers 569/120, 1367/359 is

GCF of Numerators i.e. for 569,1367 is 1

LCM of denominators i.e. for 120,359 is 43080.

Thus, GCF of Fractions is 1/43080.Finally, GCF of Fractions for 569/120, 1367/359 is 1/43080.