Greatest Common Factor of 927/16, 169/88, 589/484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 927/16, 169/88, 589/484

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 927/16,169/88,589/484

Given fractions are 927/16,169/88,589/484

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 927,169,589

Greatest Common Factor of Numerators i.e. GCF of 927,169,589 is 1 .

LCM of Denominators means LCM of 16,88,484 as per the given fractions.

LCM of 16,88,484 is 1936 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 927,169,589

GCF of Fractions 927/16,169/88,589/484 is 1/1936

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

Greatest Common Factor of 927,169,589 By Matching Biggest Common Factor Method

Greatest Common Factor of 927,169,589 By Matching Biggest Common Factor Method

Factors of 927

List of positive integer factors of 927 that divides 927 without a remainder.

1,3,9,103,309,927

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Greatest Common Factor

We found the factors 927,169,589 . The biggest common factor number is the GCF number.
So the greatest common factor 927,169,589 is 1.

Lets's calculate LCM of 16,88,484

2 16, 88, 484
2 8, 44, 242
2 4, 22, 121
11 2, 11, 121
2, 1, 11

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 2 x 1 x 11 = 1936

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1936

Therefore, the GCF of Fractions 927/16,169/88,589/484 is 1/1936

Least Common Multiple of 16,88,484 with GCF Formula

Least Common Multiple of 16,88,484 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 16,88,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,88,484) = 4

common factors(in case of two or more numbers have common factors) = 88

GCF(16,88,484) x common factors =4 x 88 = 352

LCM(16,88,484) = ( 16 × 88 × 484 ) / 352

LCM(16,88,484) = 681472 / 352

LCM(16,88,484) = 1936


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 927/16, 169/88, 589/484

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 927/16, 169/88, 589/484?

Answer: GCF of Numerators as per given numbers 927/16, 169/88, 589/484 is

GCF of Numerators i.e. for 927,169,589 is 1

LCM of denominators i.e. for 16,88,484 is 1936.

Thus, GCF of Fractions is 1/1936.Finally, GCF of Fractions for 927/16, 169/88, 589/484 is 1/1936.