Greatest Common Factor of 9595/83, 8181/553

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9595/83, 8181/553

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 9595/83,8181/553

Given fractions are 9595/83,8181/553

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 9595,8181

Greatest Common Factor of Numerators i.e. GCF of 9595,8181 is 101 .

LCM of Denominators means LCM of 83,553 as per the given fractions.

LCM of 83,553 is 45899 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9595,8181

GCF of Fractions 9595/83,8181/553 is 101/45899

101 9595, 8181
95, 81

∴ So the GCF of the given numbers is 101 = 101

Greatest Common Factor of 9595,8181 By Matching Biggest Common Factor Method

Greatest Common Factor of 9595,8181 By Matching Biggest Common Factor Method

Factors of 9595

List of positive integer factors of 9595 that divides 9595 without a remainder.

1,5,19,95,101,505,1919,9595

Factors of 8181

List of positive integer factors of 8181 that divides 8181 without a remainder.

1,3,9,27,81,101,303,909,2727,8181

Greatest Common Factor

We found the factors 9595,8181 . The biggest common factor number is the GCF number.
So the greatest common factor 9595,8181 is 101.

Lets's calculate LCM of 83,553

Given numbers has no common factors except 1. So, there LCM is their product i.e 45899

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 101/45899

Therefore, the GCF of Fractions 9595/83,8181/553 is 101/45899

Least Common Multiple of 83,553 with GCF Formula

Least Common Multiple of 83,553 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 83,553 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,553) = 1

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

GCF(83,553) x common factors =1 x 1 = 1

LCM(83,553) = ( 83 × 553 ) / 1

LCM(83,553) = 45899 / 1

LCM(83,553) = 45899


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 9595/83, 8181/553

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 9595/83, 8181/553?

Answer: GCF of Numerators as per given numbers 9595/83, 8181/553 is

GCF of Numerators i.e. for 9595,8181 is 101

LCM of denominators i.e. for 83,553 is 45899.

Thus, GCF of Fractions is 101/45899.Finally, GCF of Fractions for 9595/83, 8181/553 is 101/45899.