Greatest Common Factor of 47/36, 34/67, 433/417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 47/36, 34/67, 433/417

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 47/36,34/67,433/417

Given fractions are 47/36,34/67,433/417

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 47,34,433

Greatest Common Factor of Numerators i.e. GCF of 47,34,433 is 1 .

LCM of Denominators means LCM of 36,67,417 as per the given fractions.

LCM of 36,67,417 is 335268 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 47,34,433

GCF of Fractions 47/36,34/67,433/417 is 1/335268

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

Greatest Common Factor of 47,34,433 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,34,433 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

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 47,34,433 . The biggest common factor number is the GCF number.
So the greatest common factor 47,34,433 is 1.

Lets's calculate LCM of 36,67,417

3 36, 67, 417
12, 67, 139

∴ So the LCM of the given numbers is 3 x 12 x 67 x 139 = 335268

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/335268

Therefore, the GCF of Fractions 47/36,34/67,433/417 is 1/335268

Least Common Multiple of 36,67,417 with GCF Formula

Least Common Multiple of 36,67,417 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 36,67,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,67,417) = 1

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

GCF(36,67,417) x common factors =1 x 3 = 3

LCM(36,67,417) = ( 36 × 67 × 417 ) / 3

LCM(36,67,417) = 1005804 / 3

LCM(36,67,417) = 335268


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 47/36, 34/67, 433/417

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 47/36, 34/67, 433/417?

Answer: GCF of Numerators as per given numbers 47/36, 34/67, 433/417 is

GCF of Numerators i.e. for 47,34,433 is 1

LCM of denominators i.e. for 36,67,417 is 335268.

Thus, GCF of Fractions is 1/335268.Finally, GCF of Fractions for 47/36, 34/67, 433/417 is 1/335268.