GCD of 139, 370, 900, 524 Calculator

Given Input numbers are 139, 370, 900, 524

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

Divisors of 139

List of positive integer divisors of 139 that divides 139 without a remainder.

1, 139

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 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Greatest Common Divisior

We found the divisors of 139, 370, 900, 524 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 139, 370, 900, 524 is 1.

Therefore, GCD of numbers 139, 370, 900, 524 is 1

Given Input Data is 139, 370, 900, 524

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

Prime Factorization of 139 is 139

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 524 is 2 x 2 x 131

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(139, 370) = 51430

GCD(139, 370) = ( 139 x 370 ) / 51430

GCD(139, 370) = 51430 / 51430

GCD(139, 370) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 900

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

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

GCD(1, 900) = 900 / 900

GCD(1, 900) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 524

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

LCM(1, 524) = 524

GCD(1, 524) = ( 1 x 524 ) / 524

GCD(1, 524) = 524 / 524

GCD(1, 524) = 1

GCD of 139, 370, 900, 524 is 1

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1. What is the GCD of 139, 370, 900, 524?

GCD of 139, 370, 900, 524 is 1

2. Where do I get the detailed procedure to find GCD of 139, 370, 900, 524?

You can find a detailed procedure to find GCD of 139, 370, 900, 524 on our page.

3. How to find GCD of 139, 370, 900, 524 on a calculator?

You can find the GCD of 139, 370, 900, 524 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.