GCD of 37, 506, 748, 632 Calculator

Given Input numbers are 37, 506, 748, 632

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 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Greatest Common Divisior

We found the divisors of 37, 506, 748, 632 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 506, 748, 632 is 1.

Therefore, GCD of numbers 37, 506, 748, 632 is 1

Given Input Data is 37, 506, 748, 632

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

Prime Factorization of 37 is 37

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 632 is 2 x 2 x 2 x 79

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, 506) = 18722

GCD(37, 506) = ( 37 x 506 ) / 18722

GCD(37, 506) = 18722 / 18722

GCD(37, 506) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 632

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

LCM(1, 632) = 632

GCD(1, 632) = ( 1 x 632 ) / 632

GCD(1, 632) = 632 / 632

GCD(1, 632) = 1

GCD of 37, 506, 748, 632 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 70, 163, 130, 340
• GCD of 28, 758, 501, 573
• GCD of 93, 613, 311, 767
• GCD of 30, 764, 975, 855
• GCD of 12, 120, 550, 343

1. What is the GCD of 37, 506, 748, 632?

GCD of 37, 506, 748, 632 is 1

2. Where do I get the detailed procedure to find GCD of 37, 506, 748, 632?

You can find a detailed procedure to find GCD of 37, 506, 748, 632 on our page.

3. How to find GCD of 37, 506, 748, 632 on a calculator?

You can find the GCD of 37, 506, 748, 632 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.