Greatest Common Factor of 1724/21, 5253/856

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1724/21, 5253/856

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 1724/21,5253/856

Given fractions are 1724/21,5253/856

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 1724,5253

Greatest Common Factor of Numerators i.e. GCF of 1724,5253 is 1 .

LCM of Denominators means LCM of 21,856 as per the given fractions.

LCM of 21,856 is 17976 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1724,5253

GCF of Fractions 1724/21,5253/856 is 1/17976

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

Greatest Common Factor of 1724,5253 By Matching Biggest Common Factor Method

Greatest Common Factor of 1724,5253 By Matching Biggest Common Factor Method

Factors of 1724

List of positive integer factors of 1724 that divides 1724 without a remainder.

1,2,4,431,862,1724

Factors of 5253

List of positive integer factors of 5253 that divides 5253 without a remainder.

1,3,17,51,103,309,1751,5253

Greatest Common Factor

We found the factors 1724,5253 . The biggest common factor number is the GCF number.
So the greatest common factor 1724,5253 is 1.

Lets's calculate LCM of 21,856

Given numbers has no common factors except 1. So, there LCM is their product i.e 17976

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17976

Therefore, the GCF of Fractions 1724/21,5253/856 is 1/17976

Least Common Multiple of 21,856 with GCF Formula

Least Common Multiple of 21,856 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 21,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,856) = 1

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

GCF(21,856) x common factors =1 x 1 = 1

LCM(21,856) = ( 21 × 856 ) / 1

LCM(21,856) = 17976 / 1

LCM(21,856) = 17976


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 1724/21, 5253/856

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 1724/21, 5253/856?

Answer: GCF of Numerators as per given numbers 1724/21, 5253/856 is

GCF of Numerators i.e. for 1724,5253 is 1

LCM of denominators i.e. for 21,856 is 17976.

Thus, GCF of Fractions is 1/17976.Finally, GCF of Fractions for 1724/21, 5253/856 is 1/17976.