Greatest Common Factor of 428/849, 7266/673

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 428/849, 7266/673

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 428/849,7266/673

Given fractions are 428/849,7266/673

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 428,7266

Greatest Common Factor of Numerators i.e. GCF of 428,7266 is 2 .

LCM of Denominators means LCM of 849,673 as per the given fractions.

LCM of 849,673 is 571377 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 428,7266

GCF of Fractions 428/849,7266/673 is 2/571377

2 428, 7266
214, 3633

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

Greatest Common Factor of 428,7266 By Matching Biggest Common Factor Method

Greatest Common Factor of 428,7266 By Matching Biggest Common Factor Method

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 7266

List of positive integer factors of 7266 that divides 7266 without a remainder.

1,2,3,6,7,14,21,42,173,346,519,1038,1211,2422,3633,7266

Greatest Common Factor

We found the factors 428,7266 . The biggest common factor number is the GCF number.
So the greatest common factor 428,7266 is 2.

Lets's calculate LCM of 849,673

Given numbers has no common factors except 1. So, there LCM is their product i.e 571377

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/571377

Therefore, the GCF of Fractions 428/849,7266/673 is 2/571377

Least Common Multiple of 849,673 with GCF Formula

Least Common Multiple of 849,673 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 849,673 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(849,673) = 1

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

GCF(849,673) x common factors =1 x 1 = 1

LCM(849,673) = ( 849 × 673 ) / 1

LCM(849,673) = 571377 / 1

LCM(849,673) = 571377


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 428/849, 7266/673

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 428/849, 7266/673?

Answer: GCF of Numerators as per given numbers 428/849, 7266/673 is

GCF of Numerators i.e. for 428,7266 is 2

LCM of denominators i.e. for 849,673 is 571377.

Thus, GCF of Fractions is 2/571377.Finally, GCF of Fractions for 428/849, 7266/673 is 2/571377.