GCD of 37, 642, 354, 356 Calculator

Given Input numbers are 37, 642, 354, 356

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

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Greatest Common Divisior

We found the divisors of 37, 642, 354, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 642, 354, 356 is 1.

Therefore, GCD of numbers 37, 642, 354, 356 is 1

Given Input Data is 37, 642, 354, 356

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

Prime Factorization of 37 is 37

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 356 is 2 x 2 x 89

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(37, 642) = 23754

GCD(37, 642) = ( 37 x 642 ) / 23754

GCD(37, 642) = 23754 / 23754

GCD(37, 642) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 354

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

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

GCD(1, 354) = 354 / 354

GCD(1, 354) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 356

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

LCM(1, 356) = 356

GCD(1, 356) = ( 1 x 356 ) / 356

GCD(1, 356) = 356 / 356

GCD(1, 356) = 1

GCD of 37, 642, 354, 356 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 99, 427, 770, 311
• GCD of 81, 179, 740, 154
• GCD of 92, 400, 729, 949
• GCD of 56, 187, 933, 374
• GCD of 89, 522, 556, 429

1. What is the GCD of 37, 642, 354, 356?

GCD of 37, 642, 354, 356 is 1

2. Where do I get the detailed procedure to find GCD of 37, 642, 354, 356?

You can find a detailed procedure to find GCD of 37, 642, 354, 356 on our page.

3. How to find GCD of 37, 642, 354, 356 on a calculator?

You can find the GCD of 37, 642, 354, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.