Greatest Common Factor of 8189/69, 1428/794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8189/69, 1428/794

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 8189/69,1428/794

Given fractions are 8189/69,1428/794

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 8189,1428

Greatest Common Factor of Numerators i.e. GCF of 8189,1428 is 1 .

LCM of Denominators means LCM of 69,794 as per the given fractions.

LCM of 69,794 is 54786 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8189,1428

GCF of Fractions 8189/69,1428/794 is 1/54786

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8189,1428 By Matching Biggest Common Factor Method

Greatest Common Factor of 8189,1428 By Matching Biggest Common Factor Method

Factors of 8189

List of positive integer factors of 8189 that divides 8189 without a remainder.

1,19,431,8189

Factors of 1428

List of positive integer factors of 1428 that divides 1428 without a remainder.

1,2,3,4,6,7,12,14,17,21,28,34,42,51,68,84,102,119,204,238,357,476,714,1428

Greatest Common Factor

We found the factors 8189,1428 . The biggest common factor number is the GCF number.
So the greatest common factor 8189,1428 is 1.

Lets's calculate LCM of 69,794

Given numbers has no common factors except 1. So, there LCM is their product i.e 54786

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54786

Therefore, the GCF of Fractions 8189/69,1428/794 is 1/54786

Least Common Multiple of 69,794 with GCF Formula

Least Common Multiple of 69,794 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 69,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,794) = 1

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

GCF(69,794) x common factors =1 x 1 = 1

LCM(69,794) = ( 69 × 794 ) / 1

LCM(69,794) = 54786 / 1

LCM(69,794) = 54786


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 8189/69, 1428/794

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 8189/69, 1428/794?

Answer: GCF of Numerators as per given numbers 8189/69, 1428/794 is

GCF of Numerators i.e. for 8189,1428 is 1

LCM of denominators i.e. for 69,794 is 54786.

Thus, GCF of Fractions is 1/54786.Finally, GCF of Fractions for 8189/69, 1428/794 is 1/54786.