Greatest Common Factor of 38/822, 25/211, 363/477

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/822, 25/211, 363/477

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 38/822,25/211,363/477

Given fractions are 38/822,25/211,363/477

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 38,25,363

Greatest Common Factor of Numerators i.e. GCF of 38,25,363 is 1 .

LCM of Denominators means LCM of 822,211,477 as per the given fractions.

LCM of 822,211,477 is 27577278 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,25,363

GCF of Fractions 38/822,25/211,363/477 is 1/27577278

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

Greatest Common Factor of 38,25,363 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,25,363 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Greatest Common Factor

We found the factors 38,25,363 . The biggest common factor number is the GCF number.
So the greatest common factor 38,25,363 is 1.

Lets's calculate LCM of 822,211,477

3 822, 211, 477
274, 211, 159

∴ So the LCM of the given numbers is 3 x 274 x 211 x 159 = 27577278

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27577278

Therefore, the GCF of Fractions 38/822,25/211,363/477 is 1/27577278

Least Common Multiple of 822,211,477 with GCF Formula

Least Common Multiple of 822,211,477 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 822,211,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(822,211,477) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(822,211,477) x common factors =1 x 3 = 3

LCM(822,211,477) = ( 822 × 211 × 477 ) / 3

LCM(822,211,477) = 82731834 / 3

LCM(822,211,477) = 27577278


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 38/822, 25/211, 363/477

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 38/822, 25/211, 363/477?

Answer: GCF of Numerators as per given numbers 38/822, 25/211, 363/477 is

GCF of Numerators i.e. for 38,25,363 is 1

LCM of denominators i.e. for 822,211,477 is 27577278.

Thus, GCF of Fractions is 1/27577278.Finally, GCF of Fractions for 38/822, 25/211, 363/477 is 1/27577278.