GCD of 691, 943, 822, 224 Calculator

Given Input numbers are 691, 943, 822, 224

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

Divisors of 691

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

1, 691

Divisors of 943

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

1, 23, 41, 943

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Greatest Common Divisior

We found the divisors of 691, 943, 822, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 691, 943, 822, 224 is 1.

Therefore, GCD of numbers 691, 943, 822, 224 is 1

Given Input Data is 691, 943, 822, 224

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

Prime Factorization of 691 is 691

Prime Factorization of 943 is 23 x 41

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

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(691, 943) = 651613

GCD(691, 943) = ( 691 x 943 ) / 651613

GCD(691, 943) = 651613 / 651613

GCD(691, 943) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 822

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

LCM(1, 822) = 822

GCD(1, 822) = ( 1 x 822 ) / 822

GCD(1, 822) = 822 / 822

GCD(1, 822) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 224

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

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

GCD(1, 224) = 224 / 224

GCD(1, 224) = 1

GCD of 691, 943, 822, 224 is 1

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1. What is the GCD of 691, 943, 822, 224?

GCD of 691, 943, 822, 224 is 1

2. Where do I get the detailed procedure to find GCD of 691, 943, 822, 224?

You can find a detailed procedure to find GCD of 691, 943, 822, 224 on our page.

3. How to find GCD of 691, 943, 822, 224 on a calculator?

You can find the GCD of 691, 943, 822, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.