GCD of 506, 387, 74, 949 Calculator

Given Input numbers are 506, 387, 74, 949

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

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 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Greatest Common Divisior

We found the divisors of 506, 387, 74, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 387, 74, 949 is 1.

Therefore, GCD of numbers 506, 387, 74, 949 is 1

Given Input Data is 506, 387, 74, 949

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

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 74 is 2 x 37

Prime Factorization of 949 is 13 x 73

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(506, 387) = 195822

GCD(506, 387) = ( 506 x 387 ) / 195822

GCD(506, 387) = 195822 / 195822

GCD(506, 387) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 949

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

LCM(1, 949) = 949

GCD(1, 949) = ( 1 x 949 ) / 949

GCD(1, 949) = 949 / 949

GCD(1, 949) = 1

GCD of 506, 387, 74, 949 is 1

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• GCD of 403, 626, 44, 700
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• GCD of 533, 647, 15, 389

1. What is the GCD of 506, 387, 74, 949?

GCD of 506, 387, 74, 949 is 1

2. Where do I get the detailed procedure to find GCD of 506, 387, 74, 949?

You can find a detailed procedure to find GCD of 506, 387, 74, 949 on our page.

3. How to find GCD of 506, 387, 74, 949 on a calculator?

You can find the GCD of 506, 387, 74, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.