Greatest Common Factor of 1829/367, 6706/4358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1829/367, 6706/4358

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 1829/367,6706/4358

Given fractions are 1829/367,6706/4358

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 1829,6706

Greatest Common Factor of Numerators i.e. GCF of 1829,6706 is 1 .

LCM of Denominators means LCM of 367,4358 as per the given fractions.

LCM of 367,4358 is 1599386 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1829,6706

GCF of Fractions 1829/367,6706/4358 is 1/1599386

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

Greatest Common Factor of 1829,6706 By Matching Biggest Common Factor Method

Greatest Common Factor of 1829,6706 By Matching Biggest Common Factor Method

Factors of 1829

List of positive integer factors of 1829 that divides 1829 without a remainder.

1,31,59,1829

Factors of 6706

List of positive integer factors of 6706 that divides 6706 without a remainder.

1,2,7,14,479,958,3353,6706

Greatest Common Factor

We found the factors 1829,6706 . The biggest common factor number is the GCF number.
So the greatest common factor 1829,6706 is 1.

Lets's calculate LCM of 367,4358

Given numbers has no common factors except 1. So, there LCM is their product i.e 1599386

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1599386

Therefore, the GCF of Fractions 1829/367,6706/4358 is 1/1599386

Least Common Multiple of 367,4358 with GCF Formula

Least Common Multiple of 367,4358 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 367,4358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(367,4358) = 1

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

GCF(367,4358) x common factors =1 x 1 = 1

LCM(367,4358) = ( 367 × 4358 ) / 1

LCM(367,4358) = 1599386 / 1

LCM(367,4358) = 1599386


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 1829/367, 6706/4358

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 1829/367, 6706/4358?

Answer: GCF of Numerators as per given numbers 1829/367, 6706/4358 is

GCF of Numerators i.e. for 1829,6706 is 1

LCM of denominators i.e. for 367,4358 is 1599386.

Thus, GCF of Fractions is 1/1599386.Finally, GCF of Fractions for 1829/367, 6706/4358 is 1/1599386.