Greatest Common Factor of 722/996, 437/230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 722/996, 437/230

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 722/996,437/230

Given fractions are 722/996,437/230

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 722,437

Greatest Common Factor of Numerators i.e. GCF of 722,437 is 19 .

LCM of Denominators means LCM of 996,230 as per the given fractions.

LCM of 996,230 is 114540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 722,437

GCF of Fractions 722/996,437/230 is 19/114540

19 722, 437
38, 23

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 722,437 By Matching Biggest Common Factor Method

Greatest Common Factor of 722,437 By Matching Biggest Common Factor Method

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Factors of 437

List of positive integer factors of 437 that divides 437 without a remainder.

1,19,23,437

Greatest Common Factor

We found the factors 722,437 . The biggest common factor number is the GCF number.
So the greatest common factor 722,437 is 19.

Lets's calculate LCM of 996,230

2 996, 230
498, 115

∴ So the LCM of the given numbers is 2 x 498 x 115 = 114540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/114540

Therefore, the GCF of Fractions 722/996,437/230 is 19/114540

Least Common Multiple of 996,230 with GCF Formula

Least Common Multiple of 996,230 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 996,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(996,230) = 2

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

GCF(996,230) x common factors =2 x 1 = 2

LCM(996,230) = ( 996 × 230 ) / 2

LCM(996,230) = 229080 / 2

LCM(996,230) = 114540


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 722/996, 437/230

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 722/996, 437/230?

Answer: GCF of Numerators as per given numbers 722/996, 437/230 is

GCF of Numerators i.e. for 722,437 is 19

LCM of denominators i.e. for 996,230 is 114540.

Thus, GCF of Fractions is 19/114540.Finally, GCF of Fractions for 722/996, 437/230 is 19/114540.