Greatest Common Factor of 275/11, 392/3783

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 275/11, 392/3783

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 275/11,392/3783

Given fractions are 275/11,392/3783

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 275,392

Greatest Common Factor of Numerators i.e. GCF of 275,392 is 1 .

LCM of Denominators means LCM of 11,3783 as per the given fractions.

LCM of 11,3783 is 41613 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 275,392

GCF of Fractions 275/11,392/3783 is 1/41613

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

Greatest Common Factor of 275,392 By Matching Biggest Common Factor Method

Greatest Common Factor of 275,392 By Matching Biggest Common Factor Method

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Greatest Common Factor

We found the factors 275,392 . The biggest common factor number is the GCF number.
So the greatest common factor 275,392 is 1.

Lets's calculate LCM of 11,3783

Given numbers has no common factors except 1. So, there LCM is their product i.e 41613

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41613

Therefore, the GCF of Fractions 275/11,392/3783 is 1/41613

Least Common Multiple of 11,3783 with GCF Formula

Least Common Multiple of 11,3783 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 11,3783 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,3783) = 1

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

GCF(11,3783) x common factors =1 x 1 = 1

LCM(11,3783) = ( 11 × 3783 ) / 1

LCM(11,3783) = 41613 / 1

LCM(11,3783) = 41613


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 275/11, 392/3783

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 275/11, 392/3783?

Answer: GCF of Numerators as per given numbers 275/11, 392/3783 is

GCF of Numerators i.e. for 275,392 is 1

LCM of denominators i.e. for 11,3783 is 41613.

Thus, GCF of Fractions is 1/41613.Finally, GCF of Fractions for 275/11, 392/3783 is 1/41613.