Greatest Common Factor of 3051/182, 1843/8834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3051/182, 1843/8834

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 3051/182,1843/8834

Given fractions are 3051/182,1843/8834

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 3051,1843

Greatest Common Factor of Numerators i.e. GCF of 3051,1843 is 1 .

LCM of Denominators means LCM of 182,8834 as per the given fractions.

LCM of 182,8834 is 114842 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3051,1843

GCF of Fractions 3051/182,1843/8834 is 1/114842

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

Greatest Common Factor of 3051,1843 By Matching Biggest Common Factor Method

Greatest Common Factor of 3051,1843 By Matching Biggest Common Factor Method

Factors of 3051

List of positive integer factors of 3051 that divides 3051 without a remainder.

1,3,9,27,113,339,1017,3051

Factors of 1843

List of positive integer factors of 1843 that divides 1843 without a remainder.

1,19,97,1843

Greatest Common Factor

We found the factors 3051,1843 . The biggest common factor number is the GCF number.
So the greatest common factor 3051,1843 is 1.

Lets's calculate LCM of 182,8834

2 182, 8834
7 91, 4417
13, 631

∴ So the LCM of the given numbers is 2 x 7 x 13 x 631 = 114842

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/114842

Therefore, the GCF of Fractions 3051/182,1843/8834 is 1/114842

Least Common Multiple of 182,8834 with GCF Formula

Least Common Multiple of 182,8834 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 182,8834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(182,8834) = 14

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

GCF(182,8834) x common factors =14 x 1 = 14

LCM(182,8834) = ( 182 × 8834 ) / 14

LCM(182,8834) = 1607788 / 14

LCM(182,8834) = 114842


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 3051/182, 1843/8834

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 3051/182, 1843/8834?

Answer: GCF of Numerators as per given numbers 3051/182, 1843/8834 is

GCF of Numerators i.e. for 3051,1843 is 1

LCM of denominators i.e. for 182,8834 is 114842.

Thus, GCF of Fractions is 1/114842.Finally, GCF of Fractions for 3051/182, 1843/8834 is 1/114842.