Greatest Common Factor of 17/512, 1792/1737

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 17/512, 1792/1737

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 17/512,1792/1737

Given fractions are 17/512,1792/1737

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 17,1792

Greatest Common Factor of Numerators i.e. GCF of 17,1792 is 1 .

LCM of Denominators means LCM of 512,1737 as per the given fractions.

LCM of 512,1737 is 889344 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 17,1792

GCF of Fractions 17/512,1792/1737 is 1/889344

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

Greatest Common Factor of 17,1792 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,1792 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 1792

List of positive integer factors of 1792 that divides 1792 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,256,448,896,1792

Greatest Common Factor

We found the factors 17,1792 . The biggest common factor number is the GCF number.
So the greatest common factor 17,1792 is 1.

Lets's calculate LCM of 512,1737

Given numbers has no common factors except 1. So, there LCM is their product i.e 889344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/889344

Therefore, the GCF of Fractions 17/512,1792/1737 is 1/889344

Least Common Multiple of 512,1737 with GCF Formula

Least Common Multiple of 512,1737 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 512,1737 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,1737) = 1

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

GCF(512,1737) x common factors =1 x 1 = 1

LCM(512,1737) = ( 512 × 1737 ) / 1

LCM(512,1737) = 889344 / 1

LCM(512,1737) = 889344


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 17/512, 1792/1737

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 17/512, 1792/1737?

Answer: GCF of Numerators as per given numbers 17/512, 1792/1737 is

GCF of Numerators i.e. for 17,1792 is 1

LCM of denominators i.e. for 512,1737 is 889344.

Thus, GCF of Fractions is 1/889344.Finally, GCF of Fractions for 17/512, 1792/1737 is 1/889344.