Greatest Common Factor of 509/95, 855/99, 163/841

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 509/95, 855/99, 163/841

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 509/95,855/99,163/841

Given fractions are 509/95,855/99,163/841

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 509,855,163

Greatest Common Factor of Numerators i.e. GCF of 509,855,163 is 1 .

LCM of Denominators means LCM of 95,99,841 as per the given fractions.

LCM of 95,99,841 is 7909605 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 509,855,163

GCF of Fractions 509/95,855/99,163/841 is 1/7909605

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

Greatest Common Factor of 509,855,163 By Matching Biggest Common Factor Method

Greatest Common Factor of 509,855,163 By Matching Biggest Common Factor Method

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Factors of 163

List of positive integer factors of 163 that divides 163 without a remainder.

1,163

Greatest Common Factor

We found the factors 509,855,163 . The biggest common factor number is the GCF number.
So the greatest common factor 509,855,163 is 1.

Lets's calculate LCM of 95,99,841

Given numbers has no common factors except 1. So, there LCM is their product i.e 7909605

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7909605

Therefore, the GCF of Fractions 509/95,855/99,163/841 is 1/7909605

Least Common Multiple of 95,99,841 with GCF Formula

Least Common Multiple of 95,99,841 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 95,99,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,99,841) = 1

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

GCF(95,99,841) x common factors =1 x 1 = 1

LCM(95,99,841) = ( 95 × 99 × 841 ) / 1

LCM(95,99,841) = 7909605 / 1

LCM(95,99,841) = 7909605


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 509/95, 855/99, 163/841

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 509/95, 855/99, 163/841?

Answer: GCF of Numerators as per given numbers 509/95, 855/99, 163/841 is

GCF of Numerators i.e. for 509,855,163 is 1

LCM of denominators i.e. for 95,99,841 is 7909605.

Thus, GCF of Fractions is 1/7909605.Finally, GCF of Fractions for 509/95, 855/99, 163/841 is 1/7909605.