Greatest Common Factor of 1420/96, 8438/195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1420/96, 8438/195

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 1420/96,8438/195

Given fractions are 1420/96,8438/195

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 1420,8438

Greatest Common Factor of Numerators i.e. GCF of 1420,8438 is 2 .

LCM of Denominators means LCM of 96,195 as per the given fractions.

LCM of 96,195 is 6240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1420,8438

GCF of Fractions 1420/96,8438/195 is 2/6240

2 1420, 8438
710, 4219

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

Greatest Common Factor of 1420,8438 By Matching Biggest Common Factor Method

Greatest Common Factor of 1420,8438 By Matching Biggest Common Factor Method

Factors of 1420

List of positive integer factors of 1420 that divides 1420 without a remainder.

1,2,4,5,10,20,71,142,284,355,710,1420

Factors of 8438

List of positive integer factors of 8438 that divides 8438 without a remainder.

1,2,4219,8438

Greatest Common Factor

We found the factors 1420,8438 . The biggest common factor number is the GCF number.
So the greatest common factor 1420,8438 is 2.

Lets's calculate LCM of 96,195

3 96, 195
32, 65

∴ So the LCM of the given numbers is 3 x 32 x 65 = 6240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6240

Therefore, the GCF of Fractions 1420/96,8438/195 is 2/6240

Least Common Multiple of 96,195 with GCF Formula

Least Common Multiple of 96,195 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 96,195 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,195) = 3

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

GCF(96,195) x common factors =3 x 1 = 3

LCM(96,195) = ( 96 × 195 ) / 3

LCM(96,195) = 18720 / 3

LCM(96,195) = 6240


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 1420/96, 8438/195

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 1420/96, 8438/195?

Answer: GCF of Numerators as per given numbers 1420/96, 8438/195 is

GCF of Numerators i.e. for 1420,8438 is 2

LCM of denominators i.e. for 96,195 is 6240.

Thus, GCF of Fractions is 2/6240.Finally, GCF of Fractions for 1420/96, 8438/195 is 2/6240.