GCD of 616, 198, 83, 364 Calculator

Given Input numbers are 616, 198, 83, 364

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

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 616, 198, 83, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 616, 198, 83, 364 is 1.

Therefore, GCD of numbers 616, 198, 83, 364 is 1

Given Input Data is 616, 198, 83, 364

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

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 83 is 83

Prime Factorization of 364 is 2 x 2 x 7 x 13

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(616, 198) = 5544

GCD(616, 198) = ( 616 x 198 ) / 5544

GCD(616, 198) = 121968 / 5544

GCD(616, 198) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 83

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

LCM(22, 83) = 1826

GCD(22, 83) = ( 22 x 83 ) / 1826

GCD(22, 83) = 1826 / 1826

GCD(22, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

GCD of 616, 198, 83, 364 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 319, 633, 28, 102
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• GCD of 988, 736, 73, 652
• GCD of 502, 721, 73, 974
• GCD of 977, 718, 75, 634

1. What is the GCD of 616, 198, 83, 364?

GCD of 616, 198, 83, 364 is 1

2. Where do I get the detailed procedure to find GCD of 616, 198, 83, 364?

You can find a detailed procedure to find GCD of 616, 198, 83, 364 on our page.

3. How to find GCD of 616, 198, 83, 364 on a calculator?

You can find the GCD of 616, 198, 83, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.