Greatest Common Factor of 2189/12, 2802/782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2189/12, 2802/782

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 2189/12,2802/782

Given fractions are 2189/12,2802/782

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 2189,2802

Greatest Common Factor of Numerators i.e. GCF of 2189,2802 is 1 .

LCM of Denominators means LCM of 12,782 as per the given fractions.

LCM of 12,782 is 4692 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2189,2802

GCF of Fractions 2189/12,2802/782 is 1/4692

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

Greatest Common Factor of 2189,2802 By Matching Biggest Common Factor Method

Greatest Common Factor of 2189,2802 By Matching Biggest Common Factor Method

Factors of 2189

List of positive integer factors of 2189 that divides 2189 without a remainder.

1,11,199,2189

Factors of 2802

List of positive integer factors of 2802 that divides 2802 without a remainder.

1,2,3,6,467,934,1401,2802

Greatest Common Factor

We found the factors 2189,2802 . The biggest common factor number is the GCF number.
So the greatest common factor 2189,2802 is 1.

Lets's calculate LCM of 12,782

2 12, 782
6, 391

∴ So the LCM of the given numbers is 2 x 6 x 391 = 4692

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4692

Therefore, the GCF of Fractions 2189/12,2802/782 is 1/4692

Least Common Multiple of 12,782 with GCF Formula

Least Common Multiple of 12,782 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 12,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,782) = 2

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

GCF(12,782) x common factors =2 x 1 = 2

LCM(12,782) = ( 12 × 782 ) / 2

LCM(12,782) = 9384 / 2

LCM(12,782) = 4692


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 2189/12, 2802/782

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 2189/12, 2802/782?

Answer: GCF of Numerators as per given numbers 2189/12, 2802/782 is

GCF of Numerators i.e. for 2189,2802 is 1

LCM of denominators i.e. for 12,782 is 4692.

Thus, GCF of Fractions is 1/4692.Finally, GCF of Fractions for 2189/12, 2802/782 is 1/4692.