Greatest Common Factor of 1432/195, 3168/8142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1432/195, 3168/8142

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 1432/195,3168/8142

Given fractions are 1432/195,3168/8142

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 1432,3168

Greatest Common Factor of Numerators i.e. GCF of 1432,3168 is 8 .

LCM of Denominators means LCM of 195,8142 as per the given fractions.

LCM of 195,8142 is 529230 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1432,3168

GCF of Fractions 1432/195,3168/8142 is 8/529230

2 1432, 3168
2 716, 1584
2 358, 792
179, 396

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

Greatest Common Factor of 1432,3168 By Matching Biggest Common Factor Method

Greatest Common Factor of 1432,3168 By Matching Biggest Common Factor Method

Factors of 1432

List of positive integer factors of 1432 that divides 1432 without a remainder.

1,2,4,8,179,358,716,1432

Factors of 3168

List of positive integer factors of 3168 that divides 3168 without a remainder.

1,2,3,4,6,8,9,11,12,16,18,22,24,32,33,36,44,48,66,72,88,96,99,132,144,176,198,264,288,352,396,528,792,1056,1584,3168

Greatest Common Factor

We found the factors 1432,3168 . The biggest common factor number is the GCF number.
So the greatest common factor 1432,3168 is 8.

Lets's calculate LCM of 195,8142

3 195, 8142
65, 2714

∴ So the LCM of the given numbers is 3 x 65 x 2714 = 529230

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/529230

Therefore, the GCF of Fractions 1432/195,3168/8142 is 8/529230

Least Common Multiple of 195,8142 with GCF Formula

Least Common Multiple of 195,8142 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 195,8142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(195,8142) = 3

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

GCF(195,8142) x common factors =3 x 1 = 3

LCM(195,8142) = ( 195 × 8142 ) / 3

LCM(195,8142) = 1587690 / 3

LCM(195,8142) = 529230


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 1432/195, 3168/8142

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 1432/195, 3168/8142?

Answer: GCF of Numerators as per given numbers 1432/195, 3168/8142 is

GCF of Numerators i.e. for 1432,3168 is 8

LCM of denominators i.e. for 195,8142 is 529230.

Thus, GCF of Fractions is 8/529230.Finally, GCF of Fractions for 1432/195, 3168/8142 is 8/529230.