GCD of 976, 205, 326, 690 Calculator

Given Input numbers are 976, 205, 326, 690

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

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

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

Greatest Common Divisior

We found the divisors of 976, 205, 326, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 205, 326, 690 is 1.

Therefore, GCD of numbers 976, 205, 326, 690 is 1

Given Input Data is 976, 205, 326, 690

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

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 205 is 5 x 41

Prime Factorization of 326 is 2 x 163

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

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(976, 205) = 200080

GCD(976, 205) = ( 976 x 205 ) / 200080

GCD(976, 205) = 200080 / 200080

GCD(976, 205) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 326

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

LCM(1, 326) = 326

GCD(1, 326) = ( 1 x 326 ) / 326

GCD(1, 326) = 326 / 326

GCD(1, 326) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

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

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 1

GCD of 976, 205, 326, 690 is 1

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1. What is the GCD of 976, 205, 326, 690?

GCD of 976, 205, 326, 690 is 1

2. Where do I get the detailed procedure to find GCD of 976, 205, 326, 690?

You can find a detailed procedure to find GCD of 976, 205, 326, 690 on our page.

3. How to find GCD of 976, 205, 326, 690 on a calculator?

You can find the GCD of 976, 205, 326, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.