GCD of 657, 573, 84, 116 Calculator

Given Input numbers are 657, 573, 84, 116

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

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 573

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

1, 3, 191, 573

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Greatest Common Divisior

We found the divisors of 657, 573, 84, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 573, 84, 116 is 1.

Therefore, GCD of numbers 657, 573, 84, 116 is 1

Given Input Data is 657, 573, 84, 116

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

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 573 is 3 x 191

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 116 is 2 x 2 x 29

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(657, 573) = 125487

GCD(657, 573) = ( 657 x 573 ) / 125487

GCD(657, 573) = 376461 / 125487

GCD(657, 573) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 84

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

LCM(3, 84) = 84

GCD(3, 84) = ( 3 x 84 ) / 84

GCD(3, 84) = 252 / 84

GCD(3, 84) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 116

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

LCM(3, 116) = 348

GCD(3, 116) = ( 3 x 116 ) / 348

GCD(3, 116) = 348 / 348

GCD(3, 116) = 1

GCD of 657, 573, 84, 116 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 948, 985, 49, 724
• GCD of 244, 588, 32, 828
• GCD of 299, 385, 80, 158
• GCD of 984, 813, 92, 859
• GCD of 176, 885, 21, 866

1. What is the GCD of 657, 573, 84, 116?

GCD of 657, 573, 84, 116 is 1

2. Where do I get the detailed procedure to find GCD of 657, 573, 84, 116?

You can find a detailed procedure to find GCD of 657, 573, 84, 116 on our page.

3. How to find GCD of 657, 573, 84, 116 on a calculator?

You can find the GCD of 657, 573, 84, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.