GCD of 279, 828, 816, 525 Calculator

Given Input numbers are 279, 828, 816, 525

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

Divisors of 279 :

The positive integer divisors of 279 that completely divides 279 are.

1, 3, 9, 31, 93, 279

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 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 525 :

The positive integer divisors of 525 that completely divides 525 are.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

GCD of numbers is the greatest common divisor

So, the GCD (279, 828, 816, 525) = 3.

Given numbers are 279, 828, 816, 525

The list of prime factors of all numbers are

Prime factors of 279 are 3 x 3 x 31

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

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 525 are 3 x 5 x 5 x 7

The highest common occurrence is 3¹

Therefore, GCD of 279, 828, 816, 525 is 3.

Given numbers are 279, 828, 816, 525

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

Apply this formula for all numbers.

Step1:

LCM(279, 828) = 25668

GCD(279, 828) = ( 279 x 828 ) / 25668

= 279 / 828

= 279

Step2:

LCM(9, 816) = 2448

GCD(9, 816) = ( 9 x 816 ) / 2448

= 9 / 816

= 9

Step3:

LCM(3, 525) = 525

GCD(3, 525) = ( 3 x 525 ) / 525

= 3 / 525

= 3

So, Greatest Common Divisor of 279, 828, 816, 525 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 218, 842, 269, 896
• GCD of 952, 488, 868, 524
• GCD of 803, 380, 156, 640
• GCD of 416, 684, 550, 800
• GCD of 406, 368, 414, 992

Given numbers are 279, 828, 816, 525
The greatest common divisor of numbers 279, 828, 816, 525 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 279, 828, 816, 525 is 3.

1. What is the GCD of 279, 828, 816, 525?

GCD of given numbers 279, 828, 816, 525 is 3

2. How to calculate the greatest common divisor of 279, 828, 816, 525?

We can find the highest common divisor of 279, 828, 816, 525 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 279, 828, 816, 525 i.e 3.

3. How can I use the GCD of 279, 828, 816, 525Calculator?

Out the numbers 279, 828, 816, 525 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.