Greatest Common Factor of 5955/46, 8535/862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5955/46, 8535/862

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 5955/46,8535/862

Given fractions are 5955/46,8535/862

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 5955,8535

Greatest Common Factor of Numerators i.e. GCF of 5955,8535 is 15 .

LCM of Denominators means LCM of 46,862 as per the given fractions.

LCM of 46,862 is 19826 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5955,8535

GCF of Fractions 5955/46,8535/862 is 15/19826

3 5955, 8535
5 1985, 2845
397, 569

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 5955,8535 By Matching Biggest Common Factor Method

Greatest Common Factor of 5955,8535 By Matching Biggest Common Factor Method

Factors of 5955

List of positive integer factors of 5955 that divides 5955 without a remainder.

1,3,5,15,397,1191,1985,5955

Factors of 8535

List of positive integer factors of 8535 that divides 8535 without a remainder.

1,3,5,15,569,1707,2845,8535

Greatest Common Factor

We found the factors 5955,8535 . The biggest common factor number is the GCF number.
So the greatest common factor 5955,8535 is 15.

Lets's calculate LCM of 46,862

2 46, 862
23, 431

∴ So the LCM of the given numbers is 2 x 23 x 431 = 19826

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/19826

Therefore, the GCF of Fractions 5955/46,8535/862 is 15/19826

Least Common Multiple of 46,862 with GCF Formula

Least Common Multiple of 46,862 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 46,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,862) = 2

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

GCF(46,862) x common factors =2 x 1 = 2

LCM(46,862) = ( 46 × 862 ) / 2

LCM(46,862) = 39652 / 2

LCM(46,862) = 19826


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 5955/46, 8535/862

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 5955/46, 8535/862?

Answer: GCF of Numerators as per given numbers 5955/46, 8535/862 is

GCF of Numerators i.e. for 5955,8535 is 15

LCM of denominators i.e. for 46,862 is 19826.

Thus, GCF of Fractions is 15/19826.Finally, GCF of Fractions for 5955/46, 8535/862 is 15/19826.