GCD of 690, 943, 23, 467 Calculator

Given Input numbers are 690, 943, 23, 467

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

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 943

List of positive integer divisors of 943 that divides 943 without a remainder.

1, 23, 41, 943

Divisors of 23

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

1, 23

Divisors of 467

List of positive integer divisors of 467 that divides 467 without a remainder.

1, 467

Greatest Common Divisior

We found the divisors of 690, 943, 23, 467 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 943, 23, 467 is 1.

Therefore, GCD of numbers 690, 943, 23, 467 is 1

Given Input Data is 690, 943, 23, 467

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

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

Prime Factorization of 943 is 23 x 41

Prime Factorization of 23 is 23

Prime Factorization of 467 is 467

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(690, 943) = 28290

GCD(690, 943) = ( 690 x 943 ) / 28290

GCD(690, 943) = 650670 / 28290

GCD(690, 943) = 23

Step2:

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

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

LCM(23, 23) = 23

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

GCD(23, 23) = 529 / 23

GCD(23, 23) = 23

Step3:

Here we consider the GCD from the above i.e. 23 as first number and the next as 467

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

LCM(23, 467) = 10741

GCD(23, 467) = ( 23 x 467 ) / 10741

GCD(23, 467) = 10741 / 10741

GCD(23, 467) = 1

GCD of 690, 943, 23, 467 is 1

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1. What is the GCD of 690, 943, 23, 467?

GCD of 690, 943, 23, 467 is 1

2. Where do I get the detailed procedure to find GCD of 690, 943, 23, 467?

You can find a detailed procedure to find GCD of 690, 943, 23, 467 on our page.

3. How to find GCD of 690, 943, 23, 467 on a calculator?

You can find the GCD of 690, 943, 23, 467 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.