GCD of 949, 518, 38, 736 Calculator

Given Input numbers are 949, 518, 38, 736

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

Divisors of 949

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

1, 13, 73, 949

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Greatest Common Divisior

We found the divisors of 949, 518, 38, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 949, 518, 38, 736 is 1.

Therefore, GCD of numbers 949, 518, 38, 736 is 1

Given Input Data is 949, 518, 38, 736

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

Prime Factorization of 949 is 13 x 73

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 38 is 2 x 19

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

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(949, 518) = 491582

GCD(949, 518) = ( 949 x 518 ) / 491582

GCD(949, 518) = 491582 / 491582

GCD(949, 518) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 736

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

LCM(1, 736) = 736

GCD(1, 736) = ( 1 x 736 ) / 736

GCD(1, 736) = 736 / 736

GCD(1, 736) = 1

GCD of 949, 518, 38, 736 is 1

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1. What is the GCD of 949, 518, 38, 736?

GCD of 949, 518, 38, 736 is 1

2. Where do I get the detailed procedure to find GCD of 949, 518, 38, 736?

You can find a detailed procedure to find GCD of 949, 518, 38, 736 on our page.

3. How to find GCD of 949, 518, 38, 736 on a calculator?

You can find the GCD of 949, 518, 38, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.