GCD of 775, 690, 852, 324 Calculator

Given Input numbers are 775, 690, 852, 324

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

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Greatest Common Divisior

We found the divisors of 775, 690, 852, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 775, 690, 852, 324 is 1.

Therefore, GCD of numbers 775, 690, 852, 324 is 1

Given Input Data is 775, 690, 852, 324

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

Prime Factorization of 775 is 5 x 5 x 31

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

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(775, 690) = 106950

GCD(775, 690) = ( 775 x 690 ) / 106950

GCD(775, 690) = 534750 / 106950

GCD(775, 690) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 852

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

LCM(5, 852) = 4260

GCD(5, 852) = ( 5 x 852 ) / 4260

GCD(5, 852) = 4260 / 4260

GCD(5, 852) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 324

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

LCM(1, 324) = 324

GCD(1, 324) = ( 1 x 324 ) / 324

GCD(1, 324) = 324 / 324

GCD(1, 324) = 1

GCD of 775, 690, 852, 324 is 1

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1. What is the GCD of 775, 690, 852, 324?

GCD of 775, 690, 852, 324 is 1

2. Where do I get the detailed procedure to find GCD of 775, 690, 852, 324?

You can find a detailed procedure to find GCD of 775, 690, 852, 324 on our page.

3. How to find GCD of 775, 690, 852, 324 on a calculator?

You can find the GCD of 775, 690, 852, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.