GCD of 137, 575, 72, 523 Calculator

Given Input numbers are 137, 575, 72, 523

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

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Greatest Common Divisior

We found the divisors of 137, 575, 72, 523 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 137, 575, 72, 523 is 1.

Therefore, GCD of numbers 137, 575, 72, 523 is 1

Given Input Data is 137, 575, 72, 523

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

Prime Factorization of 137 is 137

Prime Factorization of 575 is 5 x 5 x 23

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 523 is 523

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(137, 575) = 78775

GCD(137, 575) = ( 137 x 575 ) / 78775

GCD(137, 575) = 78775 / 78775

GCD(137, 575) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 523

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

LCM(1, 523) = 523

GCD(1, 523) = ( 1 x 523 ) / 523

GCD(1, 523) = 523 / 523

GCD(1, 523) = 1

GCD of 137, 575, 72, 523 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 506, 962, 64, 401
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• GCD of 306, 866, 86, 465

1. What is the GCD of 137, 575, 72, 523?

GCD of 137, 575, 72, 523 is 1

2. Where do I get the detailed procedure to find GCD of 137, 575, 72, 523?

You can find a detailed procedure to find GCD of 137, 575, 72, 523 on our page.

3. How to find GCD of 137, 575, 72, 523 on a calculator?

You can find the GCD of 137, 575, 72, 523 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.