GCD of 527, 114, 972, 842 Calculator

Given Input numbers are 527, 114, 972, 842

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

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

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 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Greatest Common Divisior

We found the divisors of 527, 114, 972, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 527, 114, 972, 842 is 1.

Therefore, GCD of numbers 527, 114, 972, 842 is 1

Given Input Data is 527, 114, 972, 842

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

Prime Factorization of 527 is 17 x 31

Prime Factorization of 114 is 2 x 3 x 19

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

Prime Factorization of 842 is 2 x 421

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(527, 114) = 60078

GCD(527, 114) = ( 527 x 114 ) / 60078

GCD(527, 114) = 60078 / 60078

GCD(527, 114) = 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 842

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

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

GCD(1, 842) = 842 / 842

GCD(1, 842) = 1

GCD of 527, 114, 972, 842 is 1

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1. What is the GCD of 527, 114, 972, 842?

GCD of 527, 114, 972, 842 is 1

2. Where do I get the detailed procedure to find GCD of 527, 114, 972, 842?

You can find a detailed procedure to find GCD of 527, 114, 972, 842 on our page.

3. How to find GCD of 527, 114, 972, 842 on a calculator?

You can find the GCD of 527, 114, 972, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.