Greatest Common Factor of 11/702, 667/233, 368/594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 11/702, 667/233, 368/594

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 11/702,667/233,368/594

Given fractions are 11/702,667/233,368/594

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 11,667,368

Greatest Common Factor of Numerators i.e. GCF of 11,667,368 is 1 .

LCM of Denominators means LCM of 702,233,594 as per the given fractions.

LCM of 702,233,594 is 1799226 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 11,667,368

GCF of Fractions 11/702,667/233,368/594 is 1/1799226

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

Greatest Common Factor of 11,667,368 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,667,368 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Greatest Common Factor

We found the factors 11,667,368 . The biggest common factor number is the GCF number.
So the greatest common factor 11,667,368 is 1.

Lets's calculate LCM of 702,233,594

2 702, 233, 594
3 351, 233, 297
3 117, 233, 99
3 39, 233, 33
13, 233, 11

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 13 x 233 x 11 = 1799226

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1799226

Therefore, the GCF of Fractions 11/702,667/233,368/594 is 1/1799226

Least Common Multiple of 702,233,594 with GCF Formula

Least Common Multiple of 702,233,594 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 702,233,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(702,233,594) = 1

common factors(in case of two or more numbers have common factors) = 54

GCF(702,233,594) x common factors =1 x 54 = 54

LCM(702,233,594) = ( 702 × 233 × 594 ) / 54

LCM(702,233,594) = 97158204 / 54

LCM(702,233,594) = 1799226


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 11/702, 667/233, 368/594

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 11/702, 667/233, 368/594?

Answer: GCF of Numerators as per given numbers 11/702, 667/233, 368/594 is

GCF of Numerators i.e. for 11,667,368 is 1

LCM of denominators i.e. for 702,233,594 is 1799226.

Thus, GCF of Fractions is 1/1799226.Finally, GCF of Fractions for 11/702, 667/233, 368/594 is 1/1799226.