Greatest Common Factor of 7837/28, 8209/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7837/28, 8209/146

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 7837/28,8209/146

Given fractions are 7837/28,8209/146

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 7837,8209

Greatest Common Factor of Numerators i.e. GCF of 7837,8209 is 1 .

LCM of Denominators means LCM of 28,146 as per the given fractions.

LCM of 28,146 is 2044 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7837,8209

GCF of Fractions 7837/28,8209/146 is 1/2044

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

Greatest Common Factor of 7837,8209 By Matching Biggest Common Factor Method

Greatest Common Factor of 7837,8209 By Matching Biggest Common Factor Method

Factors of 7837

List of positive integer factors of 7837 that divides 7837 without a remainder.

1,17,461,7837

Factors of 8209

List of positive integer factors of 8209 that divides 8209 without a remainder.

1,8209

Greatest Common Factor

We found the factors 7837,8209 . The biggest common factor number is the GCF number.
So the greatest common factor 7837,8209 is 1.

Lets's calculate LCM of 28,146

2 28, 146
14, 73

∴ So the LCM of the given numbers is 2 x 14 x 73 = 2044

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2044

Therefore, the GCF of Fractions 7837/28,8209/146 is 1/2044

Least Common Multiple of 28,146 with GCF Formula

Least Common Multiple of 28,146 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 28,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,146) = 2

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

GCF(28,146) x common factors =2 x 1 = 2

LCM(28,146) = ( 28 × 146 ) / 2

LCM(28,146) = 4088 / 2

LCM(28,146) = 2044


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 7837/28, 8209/146

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 7837/28, 8209/146?

Answer: GCF of Numerators as per given numbers 7837/28, 8209/146 is

GCF of Numerators i.e. for 7837,8209 is 1

LCM of denominators i.e. for 28,146 is 2044.

Thus, GCF of Fractions is 1/2044.Finally, GCF of Fractions for 7837/28, 8209/146 is 1/2044.