Greatest Common Factor of 38/669, 666/504, 433/747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/669, 666/504, 433/747

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 38/669,666/504,433/747

Given fractions are 38/669,666/504,433/747

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 38,666,433

Greatest Common Factor of Numerators i.e. GCF of 38,666,433 is 1 .

LCM of Denominators means LCM of 669,504,747 as per the given fractions.

LCM of 669,504,747 is 9328536 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,666,433

GCF of Fractions 38/669,666/504,433/747 is 1/9328536

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

Greatest Common Factor of 38,666,433 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,666,433 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 666

List of positive integer factors of 666 that divides 666 without a remainder.

1,2,3,6,9,18,37,74,111,222,333,666

Factors of 433

List of positive integer factors of 433 that divides 433 without a remainder.

1,433

Greatest Common Factor

We found the factors 38,666,433 . The biggest common factor number is the GCF number.
So the greatest common factor 38,666,433 is 1.

Lets's calculate LCM of 669,504,747

3 669, 504, 747
3 223, 168, 249
223, 56, 83

∴ So the LCM of the given numbers is 3 x 3 x 223 x 56 x 83 = 9328536

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9328536

Therefore, the GCF of Fractions 38/669,666/504,433/747 is 1/9328536

Least Common Multiple of 669,504,747 with GCF Formula

Least Common Multiple of 669,504,747 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 669,504,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(669,504,747) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(669,504,747) x common factors =3 x 9 = 27

LCM(669,504,747) = ( 669 × 504 × 747 ) / 27

LCM(669,504,747) = 251870472 / 27

LCM(669,504,747) = 9328536


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 38/669, 666/504, 433/747

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 38/669, 666/504, 433/747?

Answer: GCF of Numerators as per given numbers 38/669, 666/504, 433/747 is

GCF of Numerators i.e. for 38,666,433 is 1

LCM of denominators i.e. for 669,504,747 is 9328536.

Thus, GCF of Fractions is 1/9328536.Finally, GCF of Fractions for 38/669, 666/504, 433/747 is 1/9328536.