Greatest Common Factor of 775/27, 470/87, 514/65

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 775/27, 470/87, 514/65

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 775/27,470/87,514/65

Given fractions are 775/27,470/87,514/65

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 775,470,514

Greatest Common Factor of Numerators i.e. GCF of 775,470,514 is 1 .

LCM of Denominators means LCM of 27,87,65 as per the given fractions.

LCM of 27,87,65 is 50895 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 775,470,514

GCF of Fractions 775/27,470/87,514/65 is 1/50895

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

Greatest Common Factor of 775,470,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 775,470,514 By Matching Biggest Common Factor Method

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Greatest Common Factor

We found the factors 775,470,514 . The biggest common factor number is the GCF number.
So the greatest common factor 775,470,514 is 1.

Lets's calculate LCM of 27,87,65

3 27, 87, 65
9, 29, 65

∴ So the LCM of the given numbers is 3 x 9 x 29 x 65 = 50895

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50895

Therefore, the GCF of Fractions 775/27,470/87,514/65 is 1/50895

Least Common Multiple of 27,87,65 with GCF Formula

Least Common Multiple of 27,87,65 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 27,87,65 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,87,65) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(27,87,65) x common factors =1 x 3 = 3

LCM(27,87,65) = ( 27 × 87 × 65 ) / 3

LCM(27,87,65) = 152685 / 3

LCM(27,87,65) = 50895


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 775/27, 470/87, 514/65

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 775/27, 470/87, 514/65?

Answer: GCF of Numerators as per given numbers 775/27, 470/87, 514/65 is

GCF of Numerators i.e. for 775,470,514 is 1

LCM of denominators i.e. for 27,87,65 is 50895.

Thus, GCF of Fractions is 1/50895.Finally, GCF of Fractions for 775/27, 470/87, 514/65 is 1/50895.