GCD of 279, 528, 315, 591 Calculator

Given Input numbers are 279, 528, 315, 591

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 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 591 :

The positive integer divisors of 591 that completely divides 591 are.

1, 3, 197, 591

GCD of numbers is the greatest common divisor

So, the GCD (279, 528, 315, 591) = 3.

Given numbers are 279, 528, 315, 591

The list of prime factors of all numbers are

Prime factors of 279 are 3 x 3 x 31

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 591 are 3 x 197

The highest common occurrence is 3¹

Therefore, GCD of 279, 528, 315, 591 is 3.

Given numbers are 279, 528, 315, 591

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

Apply this formula for all numbers.

Step1:

LCM(279, 528) = 49104

GCD(279, 528) = ( 279 x 528 ) / 49104

= 279 / 528

= 279

Step2:

LCM(3, 315) = 315

GCD(3, 315) = ( 3 x 315 ) / 315

= 3 / 315

= 3

Step3:

LCM(3, 591) = 591

GCD(3, 591) = ( 3 x 591 ) / 591

= 3 / 591

= 3

So, Greatest Common Divisor of 279, 528, 315, 591 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 893, 859, 195, 334
• GCD of 129, 134, 749, 384
• GCD of 821, 692, 310, 155
• GCD of 395, 960, 572, 110
• GCD of 271, 167, 404, 795

Given numbers are 279, 528, 315, 591
The greatest common divisor of numbers 279, 528, 315, 591 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 279, 528, 315, 591 is 3.

1. What is the GCD of 279, 528, 315, 591?

GCD of given numbers 279, 528, 315, 591 is 3

2. How to calculate the greatest common divisor of 279, 528, 315, 591?

We can find the highest common divisor of 279, 528, 315, 591 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, 528, 315, 591 i.e 3.

3. How can I use the GCD of 279, 528, 315, 591Calculator?

Out the numbers 279, 528, 315, 591 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.