Greatest Common Factor of 9725/17, 3723/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9725/17, 3723/260

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 9725/17,3723/260

Given fractions are 9725/17,3723/260

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 9725,3723

Greatest Common Factor of Numerators i.e. GCF of 9725,3723 is 1 .

LCM of Denominators means LCM of 17,260 as per the given fractions.

LCM of 17,260 is 4420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9725,3723

GCF of Fractions 9725/17,3723/260 is 1/4420

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

Greatest Common Factor of 9725,3723 By Matching Biggest Common Factor Method

Greatest Common Factor of 9725,3723 By Matching Biggest Common Factor Method

Factors of 9725

List of positive integer factors of 9725 that divides 9725 without a remainder.

1,5,25,389,1945,9725

Factors of 3723

List of positive integer factors of 3723 that divides 3723 without a remainder.

1,3,17,51,73,219,1241,3723

Greatest Common Factor

We found the factors 9725,3723 . The biggest common factor number is the GCF number.
So the greatest common factor 9725,3723 is 1.

Lets's calculate LCM of 17,260

Given numbers has no common factors except 1. So, there LCM is their product i.e 4420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4420

Therefore, the GCF of Fractions 9725/17,3723/260 is 1/4420

Least Common Multiple of 17,260 with GCF Formula

Least Common Multiple of 17,260 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 17,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,260) = 1

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

GCF(17,260) x common factors =1 x 1 = 1

LCM(17,260) = ( 17 × 260 ) / 1

LCM(17,260) = 4420 / 1

LCM(17,260) = 4420


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 9725/17, 3723/260

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 9725/17, 3723/260?

Answer: GCF of Numerators as per given numbers 9725/17, 3723/260 is

GCF of Numerators i.e. for 9725,3723 is 1

LCM of denominators i.e. for 17,260 is 4420.

Thus, GCF of Fractions is 1/4420.Finally, GCF of Fractions for 9725/17, 3723/260 is 1/4420.