GCD of 987, 693, 37, 758 Calculator

Given Input numbers are 987, 693, 37, 758

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

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 37

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

1, 37

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Greatest Common Divisior

We found the divisors of 987, 693, 37, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 693, 37, 758 is 1.

Therefore, GCD of numbers 987, 693, 37, 758 is 1

Given Input Data is 987, 693, 37, 758

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

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 37 is 37

Prime Factorization of 758 is 2 x 379

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(987, 693) = 32571

GCD(987, 693) = ( 987 x 693 ) / 32571

GCD(987, 693) = 683991 / 32571

GCD(987, 693) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 37

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

LCM(21, 37) = 777

GCD(21, 37) = ( 21 x 37 ) / 777

GCD(21, 37) = 777 / 777

GCD(21, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 758

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

LCM(1, 758) = 758

GCD(1, 758) = ( 1 x 758 ) / 758

GCD(1, 758) = 758 / 758

GCD(1, 758) = 1

GCD of 987, 693, 37, 758 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 446, 750, 22, 281
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• GCD of 911, 531, 51, 822
• GCD of 460, 593, 54, 933
• GCD of 466, 899, 54, 951

1. What is the GCD of 987, 693, 37, 758?

GCD of 987, 693, 37, 758 is 1

2. Where do I get the detailed procedure to find GCD of 987, 693, 37, 758?

You can find a detailed procedure to find GCD of 987, 693, 37, 758 on our page.

3. How to find GCD of 987, 693, 37, 758 on a calculator?

You can find the GCD of 987, 693, 37, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.