Greatest Common Factor of 244/73, 726/525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 244/73, 726/525

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 244/73,726/525

Given fractions are 244/73,726/525

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 244,726

Greatest Common Factor of Numerators i.e. GCF of 244,726 is 2 .

LCM of Denominators means LCM of 73,525 as per the given fractions.

LCM of 73,525 is 38325 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 244,726

GCF of Fractions 244/73,726/525 is 2/38325

2 244, 726
122, 363

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 244,726 By Matching Biggest Common Factor Method

Greatest Common Factor of 244,726 By Matching Biggest Common Factor Method

Factors of 244

List of positive integer factors of 244 that divides 244 without a remainder.

1,2,4,61,122,244

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Greatest Common Factor

We found the factors 244,726 . The biggest common factor number is the GCF number.
So the greatest common factor 244,726 is 2.

Lets's calculate LCM of 73,525

Given numbers has no common factors except 1. So, there LCM is their product i.e 38325

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/38325

Therefore, the GCF of Fractions 244/73,726/525 is 2/38325

Least Common Multiple of 73,525 with GCF Formula

Least Common Multiple of 73,525 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 73,525 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,525) = 1

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

GCF(73,525) x common factors =1 x 1 = 1

LCM(73,525) = ( 73 × 525 ) / 1

LCM(73,525) = 38325 / 1

LCM(73,525) = 38325


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 244/73, 726/525

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 244/73, 726/525?

Answer: GCF of Numerators as per given numbers 244/73, 726/525 is

GCF of Numerators i.e. for 244,726 is 2

LCM of denominators i.e. for 73,525 is 38325.

Thus, GCF of Fractions is 2/38325.Finally, GCF of Fractions for 244/73, 726/525 is 2/38325.