Greatest Common Factor of 5902/46, 8385/152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5902/46, 8385/152

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 5902/46,8385/152

Given fractions are 5902/46,8385/152

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 5902,8385

Greatest Common Factor of Numerators i.e. GCF of 5902,8385 is 13 .

LCM of Denominators means LCM of 46,152 as per the given fractions.

LCM of 46,152 is 3496 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5902,8385

GCF of Fractions 5902/46,8385/152 is 13/3496

13 5902, 8385
454, 645

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 5902,8385 By Matching Biggest Common Factor Method

Greatest Common Factor of 5902,8385 By Matching Biggest Common Factor Method

Factors of 5902

List of positive integer factors of 5902 that divides 5902 without a remainder.

1,2,13,26,227,454,2951,5902

Factors of 8385

List of positive integer factors of 8385 that divides 8385 without a remainder.

1,3,5,13,15,39,43,65,129,195,215,559,645,1677,2795,8385

Greatest Common Factor

We found the factors 5902,8385 . The biggest common factor number is the GCF number.
So the greatest common factor 5902,8385 is 13.

Lets's calculate LCM of 46,152

2 46, 152
23, 76

∴ So the LCM of the given numbers is 2 x 23 x 76 = 3496

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/3496

Therefore, the GCF of Fractions 5902/46,8385/152 is 13/3496

Least Common Multiple of 46,152 with GCF Formula

Least Common Multiple of 46,152 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 46,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,152) = 2

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

GCF(46,152) x common factors =2 x 1 = 2

LCM(46,152) = ( 46 × 152 ) / 2

LCM(46,152) = 6992 / 2

LCM(46,152) = 3496


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 5902/46, 8385/152

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 5902/46, 8385/152?

Answer: GCF of Numerators as per given numbers 5902/46, 8385/152 is

GCF of Numerators i.e. for 5902,8385 is 13

LCM of denominators i.e. for 46,152 is 3496.

Thus, GCF of Fractions is 13/3496.Finally, GCF of Fractions for 5902/46, 8385/152 is 13/3496.