Greatest Common Factor of 3804/15, 9112/968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3804/15, 9112/968

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 3804/15,9112/968

Given fractions are 3804/15,9112/968

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 3804,9112

Greatest Common Factor of Numerators i.e. GCF of 3804,9112 is 4 .

LCM of Denominators means LCM of 15,968 as per the given fractions.

LCM of 15,968 is 14520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3804,9112

GCF of Fractions 3804/15,9112/968 is 4/14520

2 3804, 9112
2 1902, 4556
951, 2278

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 3804,9112 By Matching Biggest Common Factor Method

Greatest Common Factor of 3804,9112 By Matching Biggest Common Factor Method

Factors of 3804

List of positive integer factors of 3804 that divides 3804 without a remainder.

1,2,3,4,6,12,317,634,951,1268,1902,3804

Factors of 9112

List of positive integer factors of 9112 that divides 9112 without a remainder.

1,2,4,8,17,34,67,68,134,136,268,536,1139,2278,4556,9112

Greatest Common Factor

We found the factors 3804,9112 . The biggest common factor number is the GCF number.
So the greatest common factor 3804,9112 is 4.

Lets's calculate LCM of 15,968

Given numbers has no common factors except 1. So, there LCM is their product i.e 14520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/14520

Therefore, the GCF of Fractions 3804/15,9112/968 is 4/14520

Least Common Multiple of 15,968 with GCF Formula

Least Common Multiple of 15,968 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 15,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,968) = 1

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

GCF(15,968) x common factors =1 x 1 = 1

LCM(15,968) = ( 15 × 968 ) / 1

LCM(15,968) = 14520 / 1

LCM(15,968) = 14520


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 3804/15, 9112/968

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 3804/15, 9112/968?

Answer: GCF of Numerators as per given numbers 3804/15, 9112/968 is

GCF of Numerators i.e. for 3804,9112 is 4

LCM of denominators i.e. for 15,968 is 14520.

Thus, GCF of Fractions is 4/14520.Finally, GCF of Fractions for 3804/15, 9112/968 is 4/14520.