Greatest Common Factor of 1609/289, 7713/567

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1609/289, 7713/567

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 1609/289,7713/567

Given fractions are 1609/289,7713/567

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 1609,7713

Greatest Common Factor of Numerators i.e. GCF of 1609,7713 is 1 .

LCM of Denominators means LCM of 289,567 as per the given fractions.

LCM of 289,567 is 163863 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1609,7713

GCF of Fractions 1609/289,7713/567 is 1/163863

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

Greatest Common Factor of 1609,7713 By Matching Biggest Common Factor Method

Greatest Common Factor of 1609,7713 By Matching Biggest Common Factor Method

Factors of 1609

List of positive integer factors of 1609 that divides 1609 without a remainder.

1,1609

Factors of 7713

List of positive integer factors of 7713 that divides 7713 without a remainder.

1,3,9,857,2571,7713

Greatest Common Factor

We found the factors 1609,7713 . The biggest common factor number is the GCF number.
So the greatest common factor 1609,7713 is 1.

Lets's calculate LCM of 289,567

Given numbers has no common factors except 1. So, there LCM is their product i.e 163863

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/163863

Therefore, the GCF of Fractions 1609/289,7713/567 is 1/163863

Least Common Multiple of 289,567 with GCF Formula

Least Common Multiple of 289,567 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 289,567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,567) = 1

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

GCF(289,567) x common factors =1 x 1 = 1

LCM(289,567) = ( 289 × 567 ) / 1

LCM(289,567) = 163863 / 1

LCM(289,567) = 163863


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 1609/289, 7713/567

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 1609/289, 7713/567?

Answer: GCF of Numerators as per given numbers 1609/289, 7713/567 is

GCF of Numerators i.e. for 1609,7713 is 1

LCM of denominators i.e. for 289,567 is 163863.

Thus, GCF of Fractions is 1/163863.Finally, GCF of Fractions for 1609/289, 7713/567 is 1/163863.