Greatest Common Factor of 559/9355, 387/9161

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 559/9355, 387/9161

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 559/9355,387/9161

Given fractions are 559/9355,387/9161

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 559,387

Greatest Common Factor of Numerators i.e. GCF of 559,387 is 43 .

LCM of Denominators means LCM of 9355,9161 as per the given fractions.

LCM of 9355,9161 is 85701155 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 559,387

GCF of Fractions 559/9355,387/9161 is 43/85701155

43 559, 387
13, 9

∴ So the GCF of the given numbers is 43 = 43

Greatest Common Factor of 559,387 By Matching Biggest Common Factor Method

Greatest Common Factor of 559,387 By Matching Biggest Common Factor Method

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Greatest Common Factor

We found the factors 559,387 . The biggest common factor number is the GCF number.
So the greatest common factor 559,387 is 43.

Lets's calculate LCM of 9355,9161

Given numbers has no common factors except 1. So, there LCM is their product i.e 85701155

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 43/85701155

Therefore, the GCF of Fractions 559/9355,387/9161 is 43/85701155

Least Common Multiple of 9355,9161 with GCF Formula

Least Common Multiple of 9355,9161 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 9355,9161 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9355,9161) = 1

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

GCF(9355,9161) x common factors =1 x 1 = 1

LCM(9355,9161) = ( 9355 × 9161 ) / 1

LCM(9355,9161) = 85701155 / 1

LCM(9355,9161) = 85701155


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 559/9355, 387/9161

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 559/9355, 387/9161?

Answer: GCF of Numerators as per given numbers 559/9355, 387/9161 is

GCF of Numerators i.e. for 559,387 is 43

LCM of denominators i.e. for 9355,9161 is 85701155.

Thus, GCF of Fractions is 43/85701155.Finally, GCF of Fractions for 559/9355, 387/9161 is 43/85701155.