Greatest Common Factor of 9584/738, 1402/456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9584/738, 1402/456

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 9584/738,1402/456

Given fractions are 9584/738,1402/456

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 9584,1402

Greatest Common Factor of Numerators i.e. GCF of 9584,1402 is 2 .

LCM of Denominators means LCM of 738,456 as per the given fractions.

LCM of 738,456 is 56088 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9584,1402

GCF of Fractions 9584/738,1402/456 is 2/56088

2 9584, 1402
4792, 701

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

Greatest Common Factor of 9584,1402 By Matching Biggest Common Factor Method

Greatest Common Factor of 9584,1402 By Matching Biggest Common Factor Method

Factors of 9584

List of positive integer factors of 9584 that divides 9584 without a remainder.

1,2,4,8,16,599,1198,2396,4792,9584

Factors of 1402

List of positive integer factors of 1402 that divides 1402 without a remainder.

1,2,701,1402

Greatest Common Factor

We found the factors 9584,1402 . The biggest common factor number is the GCF number.
So the greatest common factor 9584,1402 is 2.

Lets's calculate LCM of 738,456

2 738, 456
3 369, 228
123, 76

∴ So the LCM of the given numbers is 2 x 3 x 123 x 76 = 56088

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/56088

Therefore, the GCF of Fractions 9584/738,1402/456 is 2/56088

Least Common Multiple of 738,456 with GCF Formula

Least Common Multiple of 738,456 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 738,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(738,456) = 6

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

GCF(738,456) x common factors =6 x 1 = 6

LCM(738,456) = ( 738 × 456 ) / 6

LCM(738,456) = 336528 / 6

LCM(738,456) = 56088


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 9584/738, 1402/456

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 9584/738, 1402/456?

Answer: GCF of Numerators as per given numbers 9584/738, 1402/456 is

GCF of Numerators i.e. for 9584,1402 is 2

LCM of denominators i.e. for 738,456 is 56088.

Thus, GCF of Fractions is 2/56088.Finally, GCF of Fractions for 9584/738, 1402/456 is 2/56088.