GCD of 37, 637, 998, 968 Calculator

Given Input numbers are 37, 637, 998, 968

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 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Greatest Common Divisior

We found the divisors of 37, 637, 998, 968 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 637, 998, 968 is 1.

Therefore, GCD of numbers 37, 637, 998, 968 is 1

Given Input Data is 37, 637, 998, 968

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

Prime Factorization of 37 is 37

Prime Factorization of 637 is 7 x 7 x 13

Prime Factorization of 998 is 2 x 499

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

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, 637) = 23569

GCD(37, 637) = ( 37 x 637 ) / 23569

GCD(37, 637) = 23569 / 23569

GCD(37, 637) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 968

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

LCM(1, 968) = 968

GCD(1, 968) = ( 1 x 968 ) / 968

GCD(1, 968) = 968 / 968

GCD(1, 968) = 1

GCD of 37, 637, 998, 968 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 63, 472, 159, 665
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• GCD of 30, 360, 330, 147
• GCD of 17, 717, 485, 862
• GCD of 15, 893, 923, 368

1. What is the GCD of 37, 637, 998, 968?

GCD of 37, 637, 998, 968 is 1

2. Where do I get the detailed procedure to find GCD of 37, 637, 998, 968?

You can find a detailed procedure to find GCD of 37, 637, 998, 968 on our page.

3. How to find GCD of 37, 637, 998, 968 on a calculator?

You can find the GCD of 37, 637, 998, 968 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.