Greatest Common Factor of 817/84, 1711/161

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 817/84, 1711/161

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 817/84,1711/161

Given fractions are 817/84,1711/161

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 817,1711

Greatest Common Factor of Numerators i.e. GCF of 817,1711 is 1 .

LCM of Denominators means LCM of 84,161 as per the given fractions.

LCM of 84,161 is 1932 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 817,1711

GCF of Fractions 817/84,1711/161 is 1/1932

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

Greatest Common Factor of 817,1711 By Matching Biggest Common Factor Method

Greatest Common Factor of 817,1711 By Matching Biggest Common Factor Method

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Factors of 1711

List of positive integer factors of 1711 that divides 1711 without a remainder.

1,29,59,1711

Greatest Common Factor

We found the factors 817,1711 . The biggest common factor number is the GCF number.
So the greatest common factor 817,1711 is 1.

Lets's calculate LCM of 84,161

7 84, 161
12, 23

∴ So the LCM of the given numbers is 7 x 12 x 23 = 1932

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1932

Therefore, the GCF of Fractions 817/84,1711/161 is 1/1932

Least Common Multiple of 84,161 with GCF Formula

Least Common Multiple of 84,161 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 84,161 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,161) = 7

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

GCF(84,161) x common factors =7 x 1 = 7

LCM(84,161) = ( 84 × 161 ) / 7

LCM(84,161) = 13524 / 7

LCM(84,161) = 1932


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 817/84, 1711/161

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 817/84, 1711/161?

Answer: GCF of Numerators as per given numbers 817/84, 1711/161 is

GCF of Numerators i.e. for 817,1711 is 1

LCM of denominators i.e. for 84,161 is 1932.

Thus, GCF of Fractions is 1/1932.Finally, GCF of Fractions for 817/84, 1711/161 is 1/1932.