GCD of 852, 249, 61, 369 Calculator

Given Input numbers are 852, 249, 61, 369

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

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Greatest Common Divisior

We found the divisors of 852, 249, 61, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 249, 61, 369 is 1.

Therefore, GCD of numbers 852, 249, 61, 369 is 1

Given Input Data is 852, 249, 61, 369

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

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 249 is 3 x 83

Prime Factorization of 61 is 61

Prime Factorization of 369 is 3 x 3 x 41

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(852, 249) = 70716

GCD(852, 249) = ( 852 x 249 ) / 70716

GCD(852, 249) = 212148 / 70716

GCD(852, 249) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 61

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

LCM(3, 61) = 183

GCD(3, 61) = ( 3 x 61 ) / 183

GCD(3, 61) = 183 / 183

GCD(3, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 369

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

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

GCD(1, 369) = 369 / 369

GCD(1, 369) = 1

GCD of 852, 249, 61, 369 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 413, 593, 83, 632
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• GCD of 669, 891, 22, 272

1. What is the GCD of 852, 249, 61, 369?

GCD of 852, 249, 61, 369 is 1

2. Where do I get the detailed procedure to find GCD of 852, 249, 61, 369?

You can find a detailed procedure to find GCD of 852, 249, 61, 369 on our page.

3. How to find GCD of 852, 249, 61, 369 on a calculator?

You can find the GCD of 852, 249, 61, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.