GCD of 924, 959, 213, 143 Calculator

Given Input numbers are 924, 959, 213, 143

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

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Greatest Common Divisior

We found the divisors of 924, 959, 213, 143 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 959, 213, 143 is 1.

Therefore, GCD of numbers 924, 959, 213, 143 is 1

Given Input Data is 924, 959, 213, 143

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

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 959 is 7 x 137

Prime Factorization of 213 is 3 x 71

Prime Factorization of 143 is 11 x 13

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(924, 959) = 126588

GCD(924, 959) = ( 924 x 959 ) / 126588

GCD(924, 959) = 886116 / 126588

GCD(924, 959) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 213

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

LCM(7, 213) = 1491

GCD(7, 213) = ( 7 x 213 ) / 1491

GCD(7, 213) = 1491 / 1491

GCD(7, 213) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 143

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

LCM(1, 143) = 143

GCD(1, 143) = ( 1 x 143 ) / 143

GCD(1, 143) = 143 / 143

GCD(1, 143) = 1

GCD of 924, 959, 213, 143 is 1

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1. What is the GCD of 924, 959, 213, 143?

GCD of 924, 959, 213, 143 is 1

2. Where do I get the detailed procedure to find GCD of 924, 959, 213, 143?

You can find a detailed procedure to find GCD of 924, 959, 213, 143 on our page.

3. How to find GCD of 924, 959, 213, 143 on a calculator?

You can find the GCD of 924, 959, 213, 143 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.