GCD of 61, 972, 406, 899 Calculator

Given Input numbers are 61, 972, 406, 899

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

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

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 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Greatest Common Divisior

We found the divisors of 61, 972, 406, 899 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 61, 972, 406, 899 is 1.

Therefore, GCD of numbers 61, 972, 406, 899 is 1

Given Input Data is 61, 972, 406, 899

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

Prime Factorization of 61 is 61

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

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 899 is 29 x 31

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(61, 972) = 59292

GCD(61, 972) = ( 61 x 972 ) / 59292

GCD(61, 972) = 59292 / 59292

GCD(61, 972) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 406

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

LCM(1, 406) = 406

GCD(1, 406) = ( 1 x 406 ) / 406

GCD(1, 406) = 406 / 406

GCD(1, 406) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 899

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

LCM(1, 899) = 899

GCD(1, 899) = ( 1 x 899 ) / 899

GCD(1, 899) = 899 / 899

GCD(1, 899) = 1

GCD of 61, 972, 406, 899 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 84, 252, 727, 433
• GCD of 30, 817, 373, 797
• GCD of 88, 533, 688, 199
• GCD of 57, 735, 414, 525
• GCD of 60, 370, 999, 874

1. What is the GCD of 61, 972, 406, 899?

GCD of 61, 972, 406, 899 is 1

2. Where do I get the detailed procedure to find GCD of 61, 972, 406, 899?

You can find a detailed procedure to find GCD of 61, 972, 406, 899 on our page.

3. How to find GCD of 61, 972, 406, 899 on a calculator?

You can find the GCD of 61, 972, 406, 899 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.