GCD of 787, 738, 89, 763 Calculator

Given Input numbers are 787, 738, 89, 763

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

Divisors of 787

List of positive integer divisors of 787 that divides 787 without a remainder.

1, 787

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Greatest Common Divisior

We found the divisors of 787, 738, 89, 763 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 787, 738, 89, 763 is 1.

Therefore, GCD of numbers 787, 738, 89, 763 is 1

Given Input Data is 787, 738, 89, 763

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

Prime Factorization of 787 is 787

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 89 is 89

Prime Factorization of 763 is 7 x 109

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(787, 738) = 580806

GCD(787, 738) = ( 787 x 738 ) / 580806

GCD(787, 738) = 580806 / 580806

GCD(787, 738) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 89

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

LCM(1, 89) = 89

GCD(1, 89) = ( 1 x 89 ) / 89

GCD(1, 89) = 89 / 89

GCD(1, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 763

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

LCM(1, 763) = 763

GCD(1, 763) = ( 1 x 763 ) / 763

GCD(1, 763) = 763 / 763

GCD(1, 763) = 1

GCD of 787, 738, 89, 763 is 1

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1. What is the GCD of 787, 738, 89, 763?

GCD of 787, 738, 89, 763 is 1

2. Where do I get the detailed procedure to find GCD of 787, 738, 89, 763?

You can find a detailed procedure to find GCD of 787, 738, 89, 763 on our page.

3. How to find GCD of 787, 738, 89, 763 on a calculator?

You can find the GCD of 787, 738, 89, 763 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.