Greatest Common Factor of 281/722, 456/446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 281/722, 456/446

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 281/722,456/446

Given fractions are 281/722,456/446

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 281,456

Greatest Common Factor of Numerators i.e. GCF of 281,456 is 1 .

LCM of Denominators means LCM of 722,446 as per the given fractions.

LCM of 722,446 is 161006 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 281,456

GCF of Fractions 281/722,456/446 is 1/161006

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

Greatest Common Factor of 281,456 By Matching Biggest Common Factor Method

Greatest Common Factor of 281,456 By Matching Biggest Common Factor Method

Factors of 281

List of positive integer factors of 281 that divides 281 without a remainder.

1,281

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Greatest Common Factor

We found the factors 281,456 . The biggest common factor number is the GCF number.
So the greatest common factor 281,456 is 1.

Lets's calculate LCM of 722,446

2 722, 446
361, 223

∴ So the LCM of the given numbers is 2 x 361 x 223 = 161006

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/161006

Therefore, the GCF of Fractions 281/722,456/446 is 1/161006

Least Common Multiple of 722,446 with GCF Formula

Least Common Multiple of 722,446 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 722,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(722,446) = 2

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

GCF(722,446) x common factors =2 x 1 = 2

LCM(722,446) = ( 722 × 446 ) / 2

LCM(722,446) = 322012 / 2

LCM(722,446) = 161006


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 281/722, 456/446

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 281/722, 456/446?

Answer: GCF of Numerators as per given numbers 281/722, 456/446 is

GCF of Numerators i.e. for 281,456 is 1

LCM of denominators i.e. for 722,446 is 161006.

Thus, GCF of Fractions is 1/161006.Finally, GCF of Fractions for 281/722, 456/446 is 1/161006.