GCD of 943, 524, 21, 691 Calculator

Given Input numbers are 943, 524, 21, 691

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

Divisors of 943

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

1, 23, 41, 943

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Greatest Common Divisior

We found the divisors of 943, 524, 21, 691 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 943, 524, 21, 691 is 1.

Therefore, GCD of numbers 943, 524, 21, 691 is 1

Given Input Data is 943, 524, 21, 691

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

Prime Factorization of 943 is 23 x 41

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 21 is 3 x 7

Prime Factorization of 691 is 691

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(943, 524) = 494132

GCD(943, 524) = ( 943 x 524 ) / 494132

GCD(943, 524) = 494132 / 494132

GCD(943, 524) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 691

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

LCM(1, 691) = 691

GCD(1, 691) = ( 1 x 691 ) / 691

GCD(1, 691) = 691 / 691

GCD(1, 691) = 1

GCD of 943, 524, 21, 691 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 171, 135, 80, 593
• GCD of 656, 708, 52, 224
• GCD of 783, 540, 61, 655
• GCD of 963, 712, 68, 336
• GCD of 791, 893, 44, 590

1. What is the GCD of 943, 524, 21, 691?

GCD of 943, 524, 21, 691 is 1

2. Where do I get the detailed procedure to find GCD of 943, 524, 21, 691?

You can find a detailed procedure to find GCD of 943, 524, 21, 691 on our page.

3. How to find GCD of 943, 524, 21, 691 on a calculator?

You can find the GCD of 943, 524, 21, 691 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.