Greatest Common Factor of 1235/20, 1662/363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1235/20, 1662/363

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 1235/20,1662/363

Given fractions are 1235/20,1662/363

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 1235,1662

Greatest Common Factor of Numerators i.e. GCF of 1235,1662 is 1 .

LCM of Denominators means LCM of 20,363 as per the given fractions.

LCM of 20,363 is 7260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1235,1662

GCF of Fractions 1235/20,1662/363 is 1/7260

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

Greatest Common Factor of 1235,1662 By Matching Biggest Common Factor Method

Greatest Common Factor of 1235,1662 By Matching Biggest Common Factor Method

Factors of 1235

List of positive integer factors of 1235 that divides 1235 without a remainder.

1,5,13,19,65,95,247,1235

Factors of 1662

List of positive integer factors of 1662 that divides 1662 without a remainder.

1,2,3,6,277,554,831,1662

Greatest Common Factor

We found the factors 1235,1662 . The biggest common factor number is the GCF number.
So the greatest common factor 1235,1662 is 1.

Lets's calculate LCM of 20,363

Given numbers has no common factors except 1. So, there LCM is their product i.e 7260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7260

Therefore, the GCF of Fractions 1235/20,1662/363 is 1/7260

Least Common Multiple of 20,363 with GCF Formula

Least Common Multiple of 20,363 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 20,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,363) = 1

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

GCF(20,363) x common factors =1 x 1 = 1

LCM(20,363) = ( 20 × 363 ) / 1

LCM(20,363) = 7260 / 1

LCM(20,363) = 7260


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 1235/20, 1662/363

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 1235/20, 1662/363?

Answer: GCF of Numerators as per given numbers 1235/20, 1662/363 is

GCF of Numerators i.e. for 1235,1662 is 1

LCM of denominators i.e. for 20,363 is 7260.

Thus, GCF of Fractions is 1/7260.Finally, GCF of Fractions for 1235/20, 1662/363 is 1/7260.