GCD of 252, 339, 355, 828 Calculator

Given Input numbers are 252, 339, 355, 828

In the factoring method, we have to find the divisors of all numbers

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

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

Divisors of 339 :

The positive integer divisors of 339 that completely divides 339 are.

1, 3, 113, 339

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (252, 339, 355, 828) = 1.

Given numbers are 252, 339, 355, 828

The list of prime factors of all numbers are

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 339 are 3 x 113

Prime factors of 355 are 5 x 71

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 252, 339, 355, 828

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(252, 339) = 28476

GCD(252, 339) = ( 252 x 339 ) / 28476

= 252 / 339

= 252

Step2:

LCM(3, 355) = 1065

GCD(3, 355) = ( 3 x 355 ) / 1065

= 3 / 355

= 3

Step3:

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

= 1 / 828

= 1

So, Greatest Common Divisor of 252, 339, 355, 828 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 701, 866, 778, 563
• GCD of 216, 263, 556, 259
• GCD of 488, 840, 489, 810
• GCD of 921, 348, 466, 268
• GCD of 656, 173, 997, 448

Given numbers are 252, 339, 355, 828
The greatest common divisor of numbers 252, 339, 355, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 339, 355, 828 is 1.

1. What is the GCD of 252, 339, 355, 828?

GCD of given numbers 252, 339, 355, 828 is 1

2. How to calculate the greatest common divisor of 252, 339, 355, 828?

We can find the highest common divisor of 252, 339, 355, 828 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 252, 339, 355, 828 i.e 1.

3. How can I use the GCD of 252, 339, 355, 828Calculator?

Out the numbers 252, 339, 355, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.