Greatest Common Factor of 3/64, 36/41, 57/212, 477/200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/64, 36/41, 57/212, 477/200

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 3/64,36/41,57/212,477/200

Given fractions are 3/64,36/41,57/212,477/200

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 3,36,57,477

Greatest Common Factor of Numerators i.e. GCF of 3,36,57,477 is 3 .

LCM of Denominators means LCM of 64,41,212,200 as per the given fractions.

LCM of 64,41,212,200 is 3476800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,36,57,477

GCF of Fractions 3/64,36/41,57/212,477/200 is 3/3476800

3 3, 36, 57, 477
1, 12, 19, 159

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3,36,57,477 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,36,57,477 By Matching Biggest Common Factor Method

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Greatest Common Factor

We found the factors 3,36,57,477 . The biggest common factor number is the GCF number.
So the greatest common factor 3,36,57,477 is 3.

Lets's calculate LCM of 64,41,212,200

2 64, 41, 212, 200
2 32, 41, 106, 100
2 16, 41, 53, 50
8, 41, 53, 25

∴ So the LCM of the given numbers is 2 x 2 x 2 x 8 x 41 x 53 x 25 = 3476800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3476800

Therefore, the GCF of Fractions 3/64,36/41,57/212,477/200 is 3/3476800

Least Common Multiple of 64,41,212,200 with GCF Formula

Least Common Multiple of 64,41,212,200 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 64,41,212,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,41,212,200) = 1

common factors(in case of two or more numbers have common factors) = 32

GCF(64,41,212,200) x common factors =1 x 32 = 32

LCM(64,41,212,200) = ( 64 × 41 × 212 × 200 ) / 32

LCM(64,41,212,200) = 111257600 / 32

LCM(64,41,212,200) = 3476800


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 3/64, 36/41, 57/212, 477/200

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 3/64, 36/41, 57/212, 477/200?

Answer: GCF of Numerators as per given numbers 3/64, 36/41, 57/212, 477/200 is

GCF of Numerators i.e. for 3,36,57,477 is 3

LCM of denominators i.e. for 64,41,212,200 is 3476800.

Thus, GCF of Fractions is 3/3476800.Finally, GCF of Fractions for 3/64, 36/41, 57/212, 477/200 is 3/3476800.