Greatest Common Factor of 404/71, 902/67, 189/193

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 404/71, 902/67, 189/193

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 404/71,902/67,189/193

Given fractions are 404/71,902/67,189/193

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 404,902,189

Greatest Common Factor of Numerators i.e. GCF of 404,902,189 is 1 .

LCM of Denominators means LCM of 71,67,193 as per the given fractions.

LCM of 71,67,193 is 918101 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 404,902,189

GCF of Fractions 404/71,902/67,189/193 is 1/918101

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

Greatest Common Factor of 404,902,189 By Matching Biggest Common Factor Method

Greatest Common Factor of 404,902,189 By Matching Biggest Common Factor Method

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Greatest Common Factor

We found the factors 404,902,189 . The biggest common factor number is the GCF number.
So the greatest common factor 404,902,189 is 1.

Lets's calculate LCM of 71,67,193

Given numbers has no common factors except 1. So, there LCM is their product i.e 918101

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/918101

Therefore, the GCF of Fractions 404/71,902/67,189/193 is 1/918101

Least Common Multiple of 71,67,193 with GCF Formula

Least Common Multiple of 71,67,193 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 71,67,193 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,67,193) = 1

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

GCF(71,67,193) x common factors =1 x 1 = 1

LCM(71,67,193) = ( 71 × 67 × 193 ) / 1

LCM(71,67,193) = 918101 / 1

LCM(71,67,193) = 918101


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 404/71, 902/67, 189/193

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 404/71, 902/67, 189/193?

Answer: GCF of Numerators as per given numbers 404/71, 902/67, 189/193 is

GCF of Numerators i.e. for 404,902,189 is 1

LCM of denominators i.e. for 71,67,193 is 918101.

Thus, GCF of Fractions is 1/918101.Finally, GCF of Fractions for 404/71, 902/67, 189/193 is 1/918101.