Greatest Common Factor of 9232/903, 4408/6016

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9232/903, 4408/6016

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 9232/903,4408/6016

Given fractions are 9232/903,4408/6016

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 9232,4408

Greatest Common Factor of Numerators i.e. GCF of 9232,4408 is 8 .

LCM of Denominators means LCM of 903,6016 as per the given fractions.

LCM of 903,6016 is 5432448 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9232,4408

GCF of Fractions 9232/903,4408/6016 is 8/5432448

2 9232, 4408
2 4616, 2204
2 2308, 1102
1154, 551

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 9232,4408 By Matching Biggest Common Factor Method

Greatest Common Factor of 9232,4408 By Matching Biggest Common Factor Method

Factors of 9232

List of positive integer factors of 9232 that divides 9232 without a remainder.

1,2,4,8,16,577,1154,2308,4616,9232

Factors of 4408

List of positive integer factors of 4408 that divides 4408 without a remainder.

1,2,4,8,19,29,38,58,76,116,152,232,551,1102,2204,4408

Greatest Common Factor

We found the factors 9232,4408 . The biggest common factor number is the GCF number.
So the greatest common factor 9232,4408 is 8.

Lets's calculate LCM of 903,6016

Given numbers has no common factors except 1. So, there LCM is their product i.e 5432448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/5432448

Therefore, the GCF of Fractions 9232/903,4408/6016 is 8/5432448

Least Common Multiple of 903,6016 with GCF Formula

Least Common Multiple of 903,6016 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 903,6016 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(903,6016) = 1

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

GCF(903,6016) x common factors =1 x 1 = 1

LCM(903,6016) = ( 903 × 6016 ) / 1

LCM(903,6016) = 5432448 / 1

LCM(903,6016) = 5432448


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 9232/903, 4408/6016

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 9232/903, 4408/6016?

Answer: GCF of Numerators as per given numbers 9232/903, 4408/6016 is

GCF of Numerators i.e. for 9232,4408 is 8

LCM of denominators i.e. for 903,6016 is 5432448.

Thus, GCF of Fractions is 8/5432448.Finally, GCF of Fractions for 9232/903, 4408/6016 is 8/5432448.