GCD of 982, 722, 59, 111 Calculator

Given Input numbers are 982, 722, 59, 111

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

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Greatest Common Divisior

We found the divisors of 982, 722, 59, 111 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 982, 722, 59, 111 is 1.

Therefore, GCD of numbers 982, 722, 59, 111 is 1

Given Input Data is 982, 722, 59, 111

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

Prime Factorization of 982 is 2 x 491

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 59 is 59

Prime Factorization of 111 is 3 x 37

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(982, 722) = 354502

GCD(982, 722) = ( 982 x 722 ) / 354502

GCD(982, 722) = 709004 / 354502

GCD(982, 722) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 59

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

LCM(2, 59) = 118

GCD(2, 59) = ( 2 x 59 ) / 118

GCD(2, 59) = 118 / 118

GCD(2, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 111

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

LCM(1, 111) = 111

GCD(1, 111) = ( 1 x 111 ) / 111

GCD(1, 111) = 111 / 111

GCD(1, 111) = 1

GCD of 982, 722, 59, 111 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 437, 407, 39, 255
• GCD of 628, 242, 45, 468
• GCD of 910, 723, 49, 809
• GCD of 581, 659, 45, 416
• GCD of 496, 635, 39, 136

1. What is the GCD of 982, 722, 59, 111?

GCD of 982, 722, 59, 111 is 1

2. Where do I get the detailed procedure to find GCD of 982, 722, 59, 111?

You can find a detailed procedure to find GCD of 982, 722, 59, 111 on our page.

3. How to find GCD of 982, 722, 59, 111 on a calculator?

You can find the GCD of 982, 722, 59, 111 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.