GCD of 515, 150, 47, 938 Calculator

Given Input numbers are 515, 150, 47, 938

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

Divisors of 515

List of positive integer divisors of 515 that divides 515 without a remainder.

1, 5, 103, 515

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Greatest Common Divisior

We found the divisors of 515, 150, 47, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 515, 150, 47, 938 is 1.

Therefore, GCD of numbers 515, 150, 47, 938 is 1

Given Input Data is 515, 150, 47, 938

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

Prime Factorization of 515 is 5 x 103

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 47 is 47

Prime Factorization of 938 is 2 x 7 x 67

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(515, 150) = 15450

GCD(515, 150) = ( 515 x 150 ) / 15450

GCD(515, 150) = 77250 / 15450

GCD(515, 150) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 47

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

LCM(5, 47) = 235

GCD(5, 47) = ( 5 x 47 ) / 235

GCD(5, 47) = 235 / 235

GCD(5, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 938

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

LCM(1, 938) = 938

GCD(1, 938) = ( 1 x 938 ) / 938

GCD(1, 938) = 938 / 938

GCD(1, 938) = 1

GCD of 515, 150, 47, 938 is 1

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1. What is the GCD of 515, 150, 47, 938?

GCD of 515, 150, 47, 938 is 1

2. Where do I get the detailed procedure to find GCD of 515, 150, 47, 938?

You can find a detailed procedure to find GCD of 515, 150, 47, 938 on our page.

3. How to find GCD of 515, 150, 47, 938 on a calculator?

You can find the GCD of 515, 150, 47, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.