GCD of 364, 252, 99, 417 Calculator

Given Input numbers are 364, 252, 99, 417

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

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

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Greatest Common Divisior

We found the divisors of 364, 252, 99, 417 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 252, 99, 417 is 1.

Therefore, GCD of numbers 364, 252, 99, 417 is 1

Given Input Data is 364, 252, 99, 417

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

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

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 417 is 3 x 139

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(364, 252) = 3276

GCD(364, 252) = ( 364 x 252 ) / 3276

GCD(364, 252) = 91728 / 3276

GCD(364, 252) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 99

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

LCM(28, 99) = 2772

GCD(28, 99) = ( 28 x 99 ) / 2772

GCD(28, 99) = 2772 / 2772

GCD(28, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 417

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

LCM(1, 417) = 417

GCD(1, 417) = ( 1 x 417 ) / 417

GCD(1, 417) = 417 / 417

GCD(1, 417) = 1

GCD of 364, 252, 99, 417 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 748, 595, 33, 783
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• GCD of 386, 907, 35, 698
• GCD of 496, 643, 65, 977

1. What is the GCD of 364, 252, 99, 417?

GCD of 364, 252, 99, 417 is 1

2. Where do I get the detailed procedure to find GCD of 364, 252, 99, 417?

You can find a detailed procedure to find GCD of 364, 252, 99, 417 on our page.

3. How to find GCD of 364, 252, 99, 417 on a calculator?

You can find the GCD of 364, 252, 99, 417 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.