GCD of 138, 599, 972, 827 Calculator

Given Input numbers are 138, 599, 972, 827

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

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 599

List of positive integer divisors of 599 that divides 599 without a remainder.

1, 599

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Greatest Common Divisior

We found the divisors of 138, 599, 972, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 599, 972, 827 is 1.

Therefore, GCD of numbers 138, 599, 972, 827 is 1

Given Input Data is 138, 599, 972, 827

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

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 599 is 599

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 827 is 827

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(138, 599) = 82662

GCD(138, 599) = ( 138 x 599 ) / 82662

GCD(138, 599) = 82662 / 82662

GCD(138, 599) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 827

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

LCM(1, 827) = 827

GCD(1, 827) = ( 1 x 827 ) / 827

GCD(1, 827) = 827 / 827

GCD(1, 827) = 1

GCD of 138, 599, 972, 827 is 1

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• GCD of 374, 870, 523, 237
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1. What is the GCD of 138, 599, 972, 827?

GCD of 138, 599, 972, 827 is 1

2. Where do I get the detailed procedure to find GCD of 138, 599, 972, 827?

You can find a detailed procedure to find GCD of 138, 599, 972, 827 on our page.

3. How to find GCD of 138, 599, 972, 827 on a calculator?

You can find the GCD of 138, 599, 972, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.