GCD of 957, 849, 23, 690 Calculator

Given Input numbers are 957, 849, 23, 690

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

Divisors of 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

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 957, 849, 23, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 957, 849, 23, 690 is 1.

Therefore, GCD of numbers 957, 849, 23, 690 is 1

Given Input Data is 957, 849, 23, 690

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

Prime Factorization of 957 is 3 x 11 x 29

Prime Factorization of 849 is 3 x 283

Prime Factorization of 23 is 23

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(957, 849) = 270831

GCD(957, 849) = ( 957 x 849 ) / 270831

GCD(957, 849) = 812493 / 270831

GCD(957, 849) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 23

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

LCM(3, 23) = 69

GCD(3, 23) = ( 3 x 23 ) / 69

GCD(3, 23) = 69 / 69

GCD(3, 23) = 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 957, 849, 23, 690 is 1

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1. What is the GCD of 957, 849, 23, 690?

GCD of 957, 849, 23, 690 is 1

2. Where do I get the detailed procedure to find GCD of 957, 849, 23, 690?

You can find a detailed procedure to find GCD of 957, 849, 23, 690 on our page.

3. How to find GCD of 957, 849, 23, 690 on a calculator?

You can find the GCD of 957, 849, 23, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.