Greatest Common Factor of 511/282, 901/445, 279/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 511/282, 901/445, 279/132

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 511/282,901/445,279/132

Given fractions are 511/282,901/445,279/132

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 511,901,279

Greatest Common Factor of Numerators i.e. GCF of 511,901,279 is 1 .

LCM of Denominators means LCM of 282,445,132 as per the given fractions.

LCM of 282,445,132 is 2760780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 511,901,279

GCF of Fractions 511/282,901/445,279/132 is 1/2760780

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

Greatest Common Factor of 511,901,279 By Matching Biggest Common Factor Method

Greatest Common Factor of 511,901,279 By Matching Biggest Common Factor Method

Factors of 511

List of positive integer factors of 511 that divides 511 without a remainder.

1,7,73,511

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Greatest Common Factor

We found the factors 511,901,279 . The biggest common factor number is the GCF number.
So the greatest common factor 511,901,279 is 1.

Lets's calculate LCM of 282,445,132

2 282, 445, 132
3 141, 445, 66
47, 445, 22

∴ So the LCM of the given numbers is 2 x 3 x 47 x 445 x 22 = 2760780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2760780

Therefore, the GCF of Fractions 511/282,901/445,279/132 is 1/2760780

Least Common Multiple of 282,445,132 with GCF Formula

Least Common Multiple of 282,445,132 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 282,445,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(282,445,132) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(282,445,132) x common factors =1 x 6 = 6

LCM(282,445,132) = ( 282 × 445 × 132 ) / 6

LCM(282,445,132) = 16564680 / 6

LCM(282,445,132) = 2760780


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 511/282, 901/445, 279/132

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 511/282, 901/445, 279/132?

Answer: GCF of Numerators as per given numbers 511/282, 901/445, 279/132 is

GCF of Numerators i.e. for 511,901,279 is 1

LCM of denominators i.e. for 282,445,132 is 2760780.

Thus, GCF of Fractions is 1/2760780.Finally, GCF of Fractions for 511/282, 901/445, 279/132 is 1/2760780.