GCD of 31, 705, 990, 557 Calculator

Given Input numbers are 31, 705, 990, 557

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

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Greatest Common Divisior

We found the divisors of 31, 705, 990, 557 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 705, 990, 557 is 1.

Therefore, GCD of numbers 31, 705, 990, 557 is 1

Given Input Data is 31, 705, 990, 557

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

Prime Factorization of 31 is 31

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 557 is 557

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(31, 705) = 21855

GCD(31, 705) = ( 31 x 705 ) / 21855

GCD(31, 705) = 21855 / 21855

GCD(31, 705) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 990

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

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

GCD(1, 990) = 990 / 990

GCD(1, 990) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 557

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

LCM(1, 557) = 557

GCD(1, 557) = ( 1 x 557 ) / 557

GCD(1, 557) = 557 / 557

GCD(1, 557) = 1

GCD of 31, 705, 990, 557 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 53, 623, 710, 270
• GCD of 53, 200, 259, 958
• GCD of 48, 599, 567, 738
• GCD of 63, 552, 623, 115
• GCD of 55, 208, 789, 513

1. What is the GCD of 31, 705, 990, 557?

GCD of 31, 705, 990, 557 is 1

2. Where do I get the detailed procedure to find GCD of 31, 705, 990, 557?

You can find a detailed procedure to find GCD of 31, 705, 990, 557 on our page.

3. How to find GCD of 31, 705, 990, 557 on a calculator?

You can find the GCD of 31, 705, 990, 557 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.