Greatest Common Factor of 1695/20, 8427/873

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1695/20, 8427/873

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 1695/20,8427/873

Given fractions are 1695/20,8427/873

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 1695,8427

Greatest Common Factor of Numerators i.e. GCF of 1695,8427 is 3 .

LCM of Denominators means LCM of 20,873 as per the given fractions.

LCM of 20,873 is 17460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1695,8427

GCF of Fractions 1695/20,8427/873 is 3/17460

3 1695, 8427
565, 2809

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1695,8427 By Matching Biggest Common Factor Method

Greatest Common Factor of 1695,8427 By Matching Biggest Common Factor Method

Factors of 1695

List of positive integer factors of 1695 that divides 1695 without a remainder.

1,3,5,15,113,339,565,1695

Factors of 8427

List of positive integer factors of 8427 that divides 8427 without a remainder.

1,3,53,159,2809,8427

Greatest Common Factor

We found the factors 1695,8427 . The biggest common factor number is the GCF number.
So the greatest common factor 1695,8427 is 3.

Lets's calculate LCM of 20,873

Given numbers has no common factors except 1. So, there LCM is their product i.e 17460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/17460

Therefore, the GCF of Fractions 1695/20,8427/873 is 3/17460

Least Common Multiple of 20,873 with GCF Formula

Least Common Multiple of 20,873 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 20,873 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,873) = 1

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

GCF(20,873) x common factors =1 x 1 = 1

LCM(20,873) = ( 20 × 873 ) / 1

LCM(20,873) = 17460 / 1

LCM(20,873) = 17460


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 1695/20, 8427/873

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 1695/20, 8427/873?

Answer: GCF of Numerators as per given numbers 1695/20, 8427/873 is

GCF of Numerators i.e. for 1695,8427 is 3

LCM of denominators i.e. for 20,873 is 17460.

Thus, GCF of Fractions is 3/17460.Finally, GCF of Fractions for 1695/20, 8427/873 is 3/17460.