Greatest Common Factor of 726/188, 4492/5641

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 726/188, 4492/5641

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 726/188,4492/5641

Given fractions are 726/188,4492/5641

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 726,4492

Greatest Common Factor of Numerators i.e. GCF of 726,4492 is 2 .

LCM of Denominators means LCM of 188,5641 as per the given fractions.

LCM of 188,5641 is 1060508 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 726,4492

GCF of Fractions 726/188,4492/5641 is 2/1060508

2 726, 4492
363, 2246

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

Greatest Common Factor of 726,4492 By Matching Biggest Common Factor Method

Greatest Common Factor of 726,4492 By Matching Biggest Common Factor Method

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

Factors of 4492

List of positive integer factors of 4492 that divides 4492 without a remainder.

1,2,4,1123,2246,4492

Greatest Common Factor

We found the factors 726,4492 . The biggest common factor number is the GCF number.
So the greatest common factor 726,4492 is 2.

Lets's calculate LCM of 188,5641

Given numbers has no common factors except 1. So, there LCM is their product i.e 1060508

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1060508

Therefore, the GCF of Fractions 726/188,4492/5641 is 2/1060508

Least Common Multiple of 188,5641 with GCF Formula

Least Common Multiple of 188,5641 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 188,5641 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(188,5641) = 1

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

GCF(188,5641) x common factors =1 x 1 = 1

LCM(188,5641) = ( 188 × 5641 ) / 1

LCM(188,5641) = 1060508 / 1

LCM(188,5641) = 1060508


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 726/188, 4492/5641

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 726/188, 4492/5641?

Answer: GCF of Numerators as per given numbers 726/188, 4492/5641 is

GCF of Numerators i.e. for 726,4492 is 2

LCM of denominators i.e. for 188,5641 is 1060508.

Thus, GCF of Fractions is 2/1060508.Finally, GCF of Fractions for 726/188, 4492/5641 is 2/1060508.