GCD of 642, 657, 37, 894 Calculator

Given Input numbers are 642, 657, 37, 894

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

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 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 37

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

1, 37

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Greatest Common Divisior

We found the divisors of 642, 657, 37, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 657, 37, 894 is 1.

Therefore, GCD of numbers 642, 657, 37, 894 is 1

Given Input Data is 642, 657, 37, 894

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

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 37 is 37

Prime Factorization of 894 is 2 x 3 x 149

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(642, 657) = 140598

GCD(642, 657) = ( 642 x 657 ) / 140598

GCD(642, 657) = 421794 / 140598

GCD(642, 657) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 37

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

LCM(3, 37) = 111

GCD(3, 37) = ( 3 x 37 ) / 111

GCD(3, 37) = 111 / 111

GCD(3, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 894

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

LCM(1, 894) = 894

GCD(1, 894) = ( 1 x 894 ) / 894

GCD(1, 894) = 894 / 894

GCD(1, 894) = 1

GCD of 642, 657, 37, 894 is 1

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• GCD of 634, 922, 71, 483
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1. What is the GCD of 642, 657, 37, 894?

GCD of 642, 657, 37, 894 is 1

2. Where do I get the detailed procedure to find GCD of 642, 657, 37, 894?

You can find a detailed procedure to find GCD of 642, 657, 37, 894 on our page.

3. How to find GCD of 642, 657, 37, 894 on a calculator?

You can find the GCD of 642, 657, 37, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.