Greatest Common Factor of 927/188, 6123/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 927/188, 6123/516

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 927/188,6123/516

Given fractions are 927/188,6123/516

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 927,6123

Greatest Common Factor of Numerators i.e. GCF of 927,6123 is 3 .

LCM of Denominators means LCM of 188,516 as per the given fractions.

LCM of 188,516 is 24252 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 927,6123

GCF of Fractions 927/188,6123/516 is 3/24252

3 927, 6123
309, 2041

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 927,6123 By Matching Biggest Common Factor Method

Greatest Common Factor of 927,6123 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 6123

List of positive integer factors of 6123 that divides 6123 without a remainder.

1,3,13,39,157,471,2041,6123

Greatest Common Factor

We found the factors 927,6123 . The biggest common factor number is the GCF number.
So the greatest common factor 927,6123 is 3.

Lets's calculate LCM of 188,516

2 188, 516
2 94, 258
47, 129

∴ So the LCM of the given numbers is 2 x 2 x 47 x 129 = 24252

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/24252

Therefore, the GCF of Fractions 927/188,6123/516 is 3/24252

Least Common Multiple of 188,516 with GCF Formula

Least Common Multiple of 188,516 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 188,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(188,516) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(188,516) x common factors =4 x 1 = 4

LCM(188,516) = ( 188 × 516 ) / 4

LCM(188,516) = 97008 / 4

LCM(188,516) = 24252


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 927/188, 6123/516

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 927/188, 6123/516?

Answer: GCF of Numerators as per given numbers 927/188, 6123/516 is

GCF of Numerators i.e. for 927,6123 is 3

LCM of denominators i.e. for 188,516 is 24252.

Thus, GCF of Fractions is 3/24252.Finally, GCF of Fractions for 927/188, 6123/516 is 3/24252.