GCD of 100, 573, 682, 989 Calculator

Given Input numbers are 100, 573, 682, 989

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

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 573

List of positive integer divisors of 573 that divides 573 without a remainder.

1, 3, 191, 573

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Greatest Common Divisior

We found the divisors of 100, 573, 682, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 573, 682, 989 is 1.

Therefore, GCD of numbers 100, 573, 682, 989 is 1

Given Input Data is 100, 573, 682, 989

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 573 is 3 x 191

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 989 is 23 x 43

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(100, 573) = 57300

GCD(100, 573) = ( 100 x 573 ) / 57300

GCD(100, 573) = 57300 / 57300

GCD(100, 573) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 682

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

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

GCD(1, 682) = 682 / 682

GCD(1, 682) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 989

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

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

GCD(1, 989) = 989 / 989

GCD(1, 989) = 1

GCD of 100, 573, 682, 989 is 1

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1. What is the GCD of 100, 573, 682, 989?

GCD of 100, 573, 682, 989 is 1

2. Where do I get the detailed procedure to find GCD of 100, 573, 682, 989?

You can find a detailed procedure to find GCD of 100, 573, 682, 989 on our page.

3. How to find GCD of 100, 573, 682, 989 on a calculator?

You can find the GCD of 100, 573, 682, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.