Greatest Common Factor of 171/641, 6593/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 171/641, 6593/742

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 171/641,6593/742

Given fractions are 171/641,6593/742

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 171,6593

Greatest Common Factor of Numerators i.e. GCF of 171,6593 is 19 .

LCM of Denominators means LCM of 641,742 as per the given fractions.

LCM of 641,742 is 475622 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 171,6593

GCF of Fractions 171/641,6593/742 is 19/475622

19 171, 6593
9, 347

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 171,6593 By Matching Biggest Common Factor Method

Greatest Common Factor of 171,6593 By Matching Biggest Common Factor Method

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Factors of 6593

List of positive integer factors of 6593 that divides 6593 without a remainder.

1,19,347,6593

Greatest Common Factor

We found the factors 171,6593 . The biggest common factor number is the GCF number.
So the greatest common factor 171,6593 is 19.

Lets's calculate LCM of 641,742

Given numbers has no common factors except 1. So, there LCM is their product i.e 475622

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/475622

Therefore, the GCF of Fractions 171/641,6593/742 is 19/475622

Least Common Multiple of 641,742 with GCF Formula

Least Common Multiple of 641,742 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 641,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(641,742) = 1

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

GCF(641,742) x common factors =1 x 1 = 1

LCM(641,742) = ( 641 × 742 ) / 1

LCM(641,742) = 475622 / 1

LCM(641,742) = 475622


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 171/641, 6593/742

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 171/641, 6593/742?

Answer: GCF of Numerators as per given numbers 171/641, 6593/742 is

GCF of Numerators i.e. for 171,6593 is 19

LCM of denominators i.e. for 641,742 is 475622.

Thus, GCF of Fractions is 19/475622.Finally, GCF of Fractions for 171/641, 6593/742 is 19/475622.