GCD of 423, 506, 987, 950 Calculator

Given Input numbers are 423, 506, 987, 950

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

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 950

List of positive integer divisors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Greatest Common Divisior

We found the divisors of 423, 506, 987, 950 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 423, 506, 987, 950 is 1.

Therefore, GCD of numbers 423, 506, 987, 950 is 1

Given Input Data is 423, 506, 987, 950

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

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 950 is 2 x 5 x 5 x 19

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(423, 506) = 214038

GCD(423, 506) = ( 423 x 506 ) / 214038

GCD(423, 506) = 214038 / 214038

GCD(423, 506) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 987

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

LCM(1, 987) = 987

GCD(1, 987) = ( 1 x 987 ) / 987

GCD(1, 987) = 987 / 987

GCD(1, 987) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 950

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

LCM(1, 950) = 950

GCD(1, 950) = ( 1 x 950 ) / 950

GCD(1, 950) = 950 / 950

GCD(1, 950) = 1

GCD of 423, 506, 987, 950 is 1

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1. What is the GCD of 423, 506, 987, 950?

GCD of 423, 506, 987, 950 is 1

2. Where do I get the detailed procedure to find GCD of 423, 506, 987, 950?

You can find a detailed procedure to find GCD of 423, 506, 987, 950 on our page.

3. How to find GCD of 423, 506, 987, 950 on a calculator?

You can find the GCD of 423, 506, 987, 950 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.