GCD of 395, 747, 64, 342 Calculator

Given Input numbers are 395, 747, 64, 342

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 395, 747, 64, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 395, 747, 64, 342 is 1.

Therefore, GCD of numbers 395, 747, 64, 342 is 1

Given Input Data is 395, 747, 64, 342

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 395 is 5 x 79

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 342 is 2 x 3 x 3 x 19

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(395, 747) = 295065

GCD(395, 747) = ( 395 x 747 ) / 295065

GCD(395, 747) = 295065 / 295065

GCD(395, 747) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 64

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 64) = 64

GCD(1, 64) = ( 1 x 64 ) / 64

GCD(1, 64) = 64 / 64

GCD(1, 64) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 342

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

GCD of 395, 747, 64, 342 is 1

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1. What is the GCD of 395, 747, 64, 342?

GCD of 395, 747, 64, 342 is 1

2. Where do I get the detailed procedure to find GCD of 395, 747, 64, 342?

You can find a detailed procedure to find GCD of 395, 747, 64, 342 on our page.

3. How to find GCD of 395, 747, 64, 342 on a calculator?

You can find the GCD of 395, 747, 64, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.