Greatest Common Factor of 11/182, 301/356, 220/623

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 11/182, 301/356, 220/623

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 11/182,301/356,220/623

Given fractions are 11/182,301/356,220/623

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 11,301,220

Greatest Common Factor of Numerators i.e. GCF of 11,301,220 is 1 .

LCM of Denominators means LCM of 182,356,623 as per the given fractions.

LCM of 182,356,623 is 32396 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 11,301,220

GCF of Fractions 11/182,301/356,220/623 is 1/32396

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

Greatest Common Factor of 11,301,220 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,301,220 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 301

List of positive integer factors of 301 that divides 301 without a remainder.

1,7,43,301

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Greatest Common Factor

We found the factors 11,301,220 . The biggest common factor number is the GCF number.
So the greatest common factor 11,301,220 is 1.

Lets's calculate LCM of 182,356,623

2 182, 356, 623
7 91, 178, 623
89 13, 178, 89
13, 2, 1

∴ So the LCM of the given numbers is 2 x 7 x 89 x 13 x 2 x 1 = 32396

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32396

Therefore, the GCF of Fractions 11/182,301/356,220/623 is 1/32396

Least Common Multiple of 182,356,623 with GCF Formula

Least Common Multiple of 182,356,623 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 182,356,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(182,356,623) = 1

common factors(in case of two or more numbers have common factors) = 1246

GCF(182,356,623) x common factors =1 x 1246 = 1246

LCM(182,356,623) = ( 182 × 356 × 623 ) / 1246

LCM(182,356,623) = 40365416 / 1246

LCM(182,356,623) = 32396


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 11/182, 301/356, 220/623

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 11/182, 301/356, 220/623?

Answer: GCF of Numerators as per given numbers 11/182, 301/356, 220/623 is

GCF of Numerators i.e. for 11,301,220 is 1

LCM of denominators i.e. for 182,356,623 is 32396.

Thus, GCF of Fractions is 1/32396.Finally, GCF of Fractions for 11/182, 301/356, 220/623 is 1/32396.