Greatest Common Factor of 1713/165, 2823/572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1713/165, 2823/572

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 1713/165,2823/572

Given fractions are 1713/165,2823/572

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 1713,2823

Greatest Common Factor of Numerators i.e. GCF of 1713,2823 is 3 .

LCM of Denominators means LCM of 165,572 as per the given fractions.

LCM of 165,572 is 8580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1713,2823

GCF of Fractions 1713/165,2823/572 is 3/8580

3 1713, 2823
571, 941

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

Greatest Common Factor of 1713,2823 By Matching Biggest Common Factor Method

Greatest Common Factor of 1713,2823 By Matching Biggest Common Factor Method

Factors of 1713

List of positive integer factors of 1713 that divides 1713 without a remainder.

1,3,571,1713

Factors of 2823

List of positive integer factors of 2823 that divides 2823 without a remainder.

1,3,941,2823

Greatest Common Factor

We found the factors 1713,2823 . The biggest common factor number is the GCF number.
So the greatest common factor 1713,2823 is 3.

Lets's calculate LCM of 165,572

11 165, 572
15, 52

∴ So the LCM of the given numbers is 11 x 15 x 52 = 8580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/8580

Therefore, the GCF of Fractions 1713/165,2823/572 is 3/8580

Least Common Multiple of 165,572 with GCF Formula

Least Common Multiple of 165,572 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 165,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(165,572) = 11

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

GCF(165,572) x common factors =11 x 1 = 11

LCM(165,572) = ( 165 × 572 ) / 11

LCM(165,572) = 94380 / 11

LCM(165,572) = 8580


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 1713/165, 2823/572

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 1713/165, 2823/572?

Answer: GCF of Numerators as per given numbers 1713/165, 2823/572 is

GCF of Numerators i.e. for 1713,2823 is 3

LCM of denominators i.e. for 165,572 is 8580.

Thus, GCF of Fractions is 3/8580.Finally, GCF of Fractions for 1713/165, 2823/572 is 3/8580.