Greatest Common Factor of 1837/194, 8163/982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1837/194, 8163/982

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 1837/194,8163/982

Given fractions are 1837/194,8163/982

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 1837,8163

Greatest Common Factor of Numerators i.e. GCF of 1837,8163 is 1 .

LCM of Denominators means LCM of 194,982 as per the given fractions.

LCM of 194,982 is 95254 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1837,8163

GCF of Fractions 1837/194,8163/982 is 1/95254

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

Greatest Common Factor of 1837,8163 By Matching Biggest Common Factor Method

Greatest Common Factor of 1837,8163 By Matching Biggest Common Factor Method

Factors of 1837

List of positive integer factors of 1837 that divides 1837 without a remainder.

1,11,167,1837

Factors of 8163

List of positive integer factors of 8163 that divides 8163 without a remainder.

1,3,9,907,2721,8163

Greatest Common Factor

We found the factors 1837,8163 . The biggest common factor number is the GCF number.
So the greatest common factor 1837,8163 is 1.

Lets's calculate LCM of 194,982

2 194, 982
97, 491

∴ So the LCM of the given numbers is 2 x 97 x 491 = 95254

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/95254

Therefore, the GCF of Fractions 1837/194,8163/982 is 1/95254

Least Common Multiple of 194,982 with GCF Formula

Least Common Multiple of 194,982 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 194,982 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(194,982) = 2

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

GCF(194,982) x common factors =2 x 1 = 2

LCM(194,982) = ( 194 × 982 ) / 2

LCM(194,982) = 190508 / 2

LCM(194,982) = 95254


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 1837/194, 8163/982

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 1837/194, 8163/982?

Answer: GCF of Numerators as per given numbers 1837/194, 8163/982 is

GCF of Numerators i.e. for 1837,8163 is 1

LCM of denominators i.e. for 194,982 is 95254.

Thus, GCF of Fractions is 1/95254.Finally, GCF of Fractions for 1837/194, 8163/982 is 1/95254.