Greatest Common Factor of 573/17, 680/1777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 573/17, 680/1777

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 573/17,680/1777

Given fractions are 573/17,680/1777

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 573,680

Greatest Common Factor of Numerators i.e. GCF of 573,680 is 1 .

LCM of Denominators means LCM of 17,1777 as per the given fractions.

LCM of 17,1777 is 30209 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 573,680

GCF of Fractions 573/17,680/1777 is 1/30209

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

Greatest Common Factor of 573,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 573,680 By Matching Biggest Common Factor Method

Factors of 573

List of positive integer factors of 573 that divides 573 without a remainder.

1,3,191,573

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 573,680 . The biggest common factor number is the GCF number.
So the greatest common factor 573,680 is 1.

Lets's calculate LCM of 17,1777

Given numbers has no common factors except 1. So, there LCM is their product i.e 30209

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30209

Therefore, the GCF of Fractions 573/17,680/1777 is 1/30209

Least Common Multiple of 17,1777 with GCF Formula

Least Common Multiple of 17,1777 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 17,1777 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,1777) = 1

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

GCF(17,1777) x common factors =1 x 1 = 1

LCM(17,1777) = ( 17 × 1777 ) / 1

LCM(17,1777) = 30209 / 1

LCM(17,1777) = 30209


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 573/17, 680/1777

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 573/17, 680/1777?

Answer: GCF of Numerators as per given numbers 573/17, 680/1777 is

GCF of Numerators i.e. for 573,680 is 1

LCM of denominators i.e. for 17,1777 is 30209.

Thus, GCF of Fractions is 1/30209.Finally, GCF of Fractions for 573/17, 680/1777 is 1/30209.