Greatest Common Factor of 152/384, 9804/111

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 152/384, 9804/111

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 152/384,9804/111

Given fractions are 152/384,9804/111

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 152,9804

Greatest Common Factor of Numerators i.e. GCF of 152,9804 is 76 .

LCM of Denominators means LCM of 384,111 as per the given fractions.

LCM of 384,111 is 14208 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 152,9804

GCF of Fractions 152/384,9804/111 is 76/14208

2 152, 9804
2 76, 4902
19 38, 2451
2, 129

∴ So the GCF of the given numbers is 2 x 2 x 19 = 76

Greatest Common Factor of 152,9804 By Matching Biggest Common Factor Method

Greatest Common Factor of 152,9804 By Matching Biggest Common Factor Method

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Factors of 9804

List of positive integer factors of 9804 that divides 9804 without a remainder.

1,2,3,4,6,12,19,38,43,57,76,86,114,129,172,228,258,516,817,1634,2451,3268,4902,9804

Greatest Common Factor

We found the factors 152,9804 . The biggest common factor number is the GCF number.
So the greatest common factor 152,9804 is 76.

Lets's calculate LCM of 384,111

3 384, 111
128, 37

∴ So the LCM of the given numbers is 3 x 128 x 37 = 14208

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 76/14208

Therefore, the GCF of Fractions 152/384,9804/111 is 76/14208

Least Common Multiple of 384,111 with GCF Formula

Least Common Multiple of 384,111 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 384,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,111) = 3

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

GCF(384,111) x common factors =3 x 1 = 3

LCM(384,111) = ( 384 × 111 ) / 3

LCM(384,111) = 42624 / 3

LCM(384,111) = 14208


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 152/384, 9804/111

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 152/384, 9804/111?

Answer: GCF of Numerators as per given numbers 152/384, 9804/111 is

GCF of Numerators i.e. for 152,9804 is 76

LCM of denominators i.e. for 384,111 is 14208.

Thus, GCF of Fractions is 76/14208.Finally, GCF of Fractions for 152/384, 9804/111 is 76/14208.