Greatest Common Factor of 451/80, 204/31, 269/72

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 451/80, 204/31, 269/72

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 451/80,204/31,269/72

Given fractions are 451/80,204/31,269/72

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 451,204,269

Greatest Common Factor of Numerators i.e. GCF of 451,204,269 is 1 .

LCM of Denominators means LCM of 80,31,72 as per the given fractions.

LCM of 80,31,72 is 22320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 451,204,269

GCF of Fractions 451/80,204/31,269/72 is 1/22320

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

Greatest Common Factor of 451,204,269 By Matching Biggest Common Factor Method

Greatest Common Factor of 451,204,269 By Matching Biggest Common Factor Method

Factors of 451

List of positive integer factors of 451 that divides 451 without a remainder.

1,11,41,451

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Greatest Common Factor

We found the factors 451,204,269 . The biggest common factor number is the GCF number.
So the greatest common factor 451,204,269 is 1.

Lets's calculate LCM of 80,31,72

2 80, 31, 72
2 40, 31, 36
2 20, 31, 18
10, 31, 9

∴ So the LCM of the given numbers is 2 x 2 x 2 x 10 x 31 x 9 = 22320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22320

Therefore, the GCF of Fractions 451/80,204/31,269/72 is 1/22320

Least Common Multiple of 80,31,72 with GCF Formula

Least Common Multiple of 80,31,72 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 80,31,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,31,72) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(80,31,72) x common factors =1 x 8 = 8

LCM(80,31,72) = ( 80 × 31 × 72 ) / 8

LCM(80,31,72) = 178560 / 8

LCM(80,31,72) = 22320


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 451/80, 204/31, 269/72

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 451/80, 204/31, 269/72?

Answer: GCF of Numerators as per given numbers 451/80, 204/31, 269/72 is

GCF of Numerators i.e. for 451,204,269 is 1

LCM of denominators i.e. for 80,31,72 is 22320.

Thus, GCF of Fractions is 1/22320.Finally, GCF of Fractions for 451/80, 204/31, 269/72 is 1/22320.