Greatest Common Factor of 7036/330, 8381/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7036/330, 8381/170

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 7036/330,8381/170

Given fractions are 7036/330,8381/170

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 7036,8381

Greatest Common Factor of Numerators i.e. GCF of 7036,8381 is 1 .

LCM of Denominators means LCM of 330,170 as per the given fractions.

LCM of 330,170 is 5610 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7036,8381

GCF of Fractions 7036/330,8381/170 is 1/5610

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

Greatest Common Factor of 7036,8381 By Matching Biggest Common Factor Method

Greatest Common Factor of 7036,8381 By Matching Biggest Common Factor Method

Factors of 7036

List of positive integer factors of 7036 that divides 7036 without a remainder.

1,2,4,1759,3518,7036

Factors of 8381

List of positive integer factors of 8381 that divides 8381 without a remainder.

1,17,29,289,493,8381

Greatest Common Factor

We found the factors 7036,8381 . The biggest common factor number is the GCF number.
So the greatest common factor 7036,8381 is 1.

Lets's calculate LCM of 330,170

2 330, 170
5 165, 85
33, 17

∴ So the LCM of the given numbers is 2 x 5 x 33 x 17 = 5610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5610

Therefore, the GCF of Fractions 7036/330,8381/170 is 1/5610

Least Common Multiple of 330,170 with GCF Formula

Least Common Multiple of 330,170 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 330,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(330,170) = 10

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

GCF(330,170) x common factors =10 x 1 = 10

LCM(330,170) = ( 330 × 170 ) / 10

LCM(330,170) = 56100 / 10

LCM(330,170) = 5610


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 7036/330, 8381/170

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 7036/330, 8381/170?

Answer: GCF of Numerators as per given numbers 7036/330, 8381/170 is

GCF of Numerators i.e. for 7036,8381 is 1

LCM of denominators i.e. for 330,170 is 5610.

Thus, GCF of Fractions is 1/5610.Finally, GCF of Fractions for 7036/330, 8381/170 is 1/5610.