GCD of 465, 787, 564, 689 Calculator

Given Input numbers are 465, 787, 564, 689

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

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 787

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

1, 787

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 465, 787, 564, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 787, 564, 689 is 1.

Therefore, GCD of numbers 465, 787, 564, 689 is 1

Given Input Data is 465, 787, 564, 689

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

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 787 is 787

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 689 is 13 x 53

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(465, 787) = 365955

GCD(465, 787) = ( 465 x 787 ) / 365955

GCD(465, 787) = 365955 / 365955

GCD(465, 787) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 564

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

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

GCD(1, 564) = 564 / 564

GCD(1, 564) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

GCD of 465, 787, 564, 689 is 1

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1. What is the GCD of 465, 787, 564, 689?

GCD of 465, 787, 564, 689 is 1

2. Where do I get the detailed procedure to find GCD of 465, 787, 564, 689?

You can find a detailed procedure to find GCD of 465, 787, 564, 689 on our page.

3. How to find GCD of 465, 787, 564, 689 on a calculator?

You can find the GCD of 465, 787, 564, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.