Greatest Common Factor of 281/71, 304/27, 450/711

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 281/71, 304/27, 450/711

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 281/71,304/27,450/711

Given fractions are 281/71,304/27,450/711

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 281,304,450

Greatest Common Factor of Numerators i.e. GCF of 281,304,450 is 1 .

LCM of Denominators means LCM of 71,27,711 as per the given fractions.

LCM of 71,27,711 is 151443 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 281,304,450

GCF of Fractions 281/71,304/27,450/711 is 1/151443

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

Greatest Common Factor of 281,304,450 By Matching Biggest Common Factor Method

Greatest Common Factor of 281,304,450 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 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Greatest Common Factor

We found the factors 281,304,450 . The biggest common factor number is the GCF number.
So the greatest common factor 281,304,450 is 1.

Lets's calculate LCM of 71,27,711

3 71, 27, 711
3 71, 9, 237
71, 3, 79

∴ So the LCM of the given numbers is 3 x 3 x 71 x 3 x 79 = 151443

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/151443

Therefore, the GCF of Fractions 281/71,304/27,450/711 is 1/151443

Least Common Multiple of 71,27,711 with GCF Formula

Least Common Multiple of 71,27,711 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 71,27,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,27,711) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(71,27,711) x common factors =1 x 9 = 9

LCM(71,27,711) = ( 71 × 27 × 711 ) / 9

LCM(71,27,711) = 1362987 / 9

LCM(71,27,711) = 151443


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 281/71, 304/27, 450/711

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 281/71, 304/27, 450/711?

Answer: GCF of Numerators as per given numbers 281/71, 304/27, 450/711 is

GCF of Numerators i.e. for 281,304,450 is 1

LCM of denominators i.e. for 71,27,711 is 151443.

Thus, GCF of Fractions is 1/151443.Finally, GCF of Fractions for 281/71, 304/27, 450/711 is 1/151443.