GCD of 828, 108, 507, 537 Calculator

Given Input numbers are 828, 108, 507, 537

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

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

Divisors of 537 :

The positive integer divisors of 537 that completely divides 537 are.

1, 3, 179, 537

GCD of numbers is the greatest common divisor

So, the GCD (828, 108, 507, 537) = 3.

Given numbers are 828, 108, 507, 537

The list of prime factors of all numbers are

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

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 507 are 3 x 13 x 13

Prime factors of 537 are 3 x 179

The highest common occurrence is 3¹

Therefore, GCD of 828, 108, 507, 537 is 3.

Given numbers are 828, 108, 507, 537

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

Apply this formula for all numbers.

Step1:

LCM(828, 108) = 2484

GCD(828, 108) = ( 828 x 108 ) / 2484

= 828 / 108

= 828

Step2:

LCM(36, 507) = 6084

GCD(36, 507) = ( 36 x 507 ) / 6084

= 36 / 507

= 36

Step3:

LCM(3, 537) = 537

GCD(3, 537) = ( 3 x 537 ) / 537

= 3 / 537

= 3

So, Greatest Common Divisor of 828, 108, 507, 537 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 580, 959, 413, 653
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• GCD of 872, 265, 635, 918

Given numbers are 828, 108, 507, 537
The greatest common divisor of numbers 828, 108, 507, 537 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 108, 507, 537 is 3.

1. What is the GCD of 828, 108, 507, 537?

GCD of given numbers 828, 108, 507, 537 is 3

2. How to calculate the greatest common divisor of 828, 108, 507, 537?

We can find the highest common divisor of 828, 108, 507, 537 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 828, 108, 507, 537 i.e 3.

3. How can I use the GCD of 828, 108, 507, 537Calculator?

Out the numbers 828, 108, 507, 537 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.