Greatest Common Factor of 1642/93, 2055/209

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1642/93, 2055/209

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 1642/93,2055/209

Given fractions are 1642/93,2055/209

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 1642,2055

Greatest Common Factor of Numerators i.e. GCF of 1642,2055 is 1 .

LCM of Denominators means LCM of 93,209 as per the given fractions.

LCM of 93,209 is 19437 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1642,2055

GCF of Fractions 1642/93,2055/209 is 1/19437

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

Greatest Common Factor of 1642,2055 By Matching Biggest Common Factor Method

Greatest Common Factor of 1642,2055 By Matching Biggest Common Factor Method

Factors of 1642

List of positive integer factors of 1642 that divides 1642 without a remainder.

1,2,821,1642

Factors of 2055

List of positive integer factors of 2055 that divides 2055 without a remainder.

1,3,5,15,137,411,685,2055

Greatest Common Factor

We found the factors 1642,2055 . The biggest common factor number is the GCF number.
So the greatest common factor 1642,2055 is 1.

Lets's calculate LCM of 93,209

Given numbers has no common factors except 1. So, there LCM is their product i.e 19437

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19437

Therefore, the GCF of Fractions 1642/93,2055/209 is 1/19437

Least Common Multiple of 93,209 with GCF Formula

Least Common Multiple of 93,209 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 93,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,209) = 1

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

GCF(93,209) x common factors =1 x 1 = 1

LCM(93,209) = ( 93 × 209 ) / 1

LCM(93,209) = 19437 / 1

LCM(93,209) = 19437


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 1642/93, 2055/209

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 1642/93, 2055/209?

Answer: GCF of Numerators as per given numbers 1642/93, 2055/209 is

GCF of Numerators i.e. for 1642,2055 is 1

LCM of denominators i.e. for 93,209 is 19437.

Thus, GCF of Fractions is 1/19437.Finally, GCF of Fractions for 1642/93, 2055/209 is 1/19437.