GCD of 503, 961, 370, 356 Calculator

Given Input numbers are 503, 961, 370, 356

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

Divisors of 503

List of positive integer divisors of 503 that divides 503 without a remainder.

1, 503

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Greatest Common Divisior

We found the divisors of 503, 961, 370, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 503, 961, 370, 356 is 1.

Therefore, GCD of numbers 503, 961, 370, 356 is 1

Given Input Data is 503, 961, 370, 356

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

Prime Factorization of 503 is 503

Prime Factorization of 961 is 31 x 31

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 356 is 2 x 2 x 89

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(503, 961) = 483383

GCD(503, 961) = ( 503 x 961 ) / 483383

GCD(503, 961) = 483383 / 483383

GCD(503, 961) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 370

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

LCM(1, 370) = 370

GCD(1, 370) = ( 1 x 370 ) / 370

GCD(1, 370) = 370 / 370

GCD(1, 370) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 356

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

LCM(1, 356) = 356

GCD(1, 356) = ( 1 x 356 ) / 356

GCD(1, 356) = 356 / 356

GCD(1, 356) = 1

GCD of 503, 961, 370, 356 is 1

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1. What is the GCD of 503, 961, 370, 356?

GCD of 503, 961, 370, 356 is 1

2. Where do I get the detailed procedure to find GCD of 503, 961, 370, 356?

You can find a detailed procedure to find GCD of 503, 961, 370, 356 on our page.

3. How to find GCD of 503, 961, 370, 356 on a calculator?

You can find the GCD of 503, 961, 370, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.