GCD of 478, 972, 81, 985 Calculator

Given Input numbers are 478, 972, 81, 985

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

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

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 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 985

List of positive integer divisors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Greatest Common Divisior

We found the divisors of 478, 972, 81, 985 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 478, 972, 81, 985 is 1.

Therefore, GCD of numbers 478, 972, 81, 985 is 1

Given Input Data is 478, 972, 81, 985

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

Prime Factorization of 478 is 2 x 239

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

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 985 is 5 x 197

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(478, 972) = 232308

GCD(478, 972) = ( 478 x 972 ) / 232308

GCD(478, 972) = 464616 / 232308

GCD(478, 972) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 81

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

LCM(2, 81) = 162

GCD(2, 81) = ( 2 x 81 ) / 162

GCD(2, 81) = 162 / 162

GCD(2, 81) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 985

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

LCM(1, 985) = 985

GCD(1, 985) = ( 1 x 985 ) / 985

GCD(1, 985) = 985 / 985

GCD(1, 985) = 1

GCD of 478, 972, 81, 985 is 1

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1. What is the GCD of 478, 972, 81, 985?

GCD of 478, 972, 81, 985 is 1

2. Where do I get the detailed procedure to find GCD of 478, 972, 81, 985?

You can find a detailed procedure to find GCD of 478, 972, 81, 985 on our page.

3. How to find GCD of 478, 972, 81, 985 on a calculator?

You can find the GCD of 478, 972, 81, 985 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.