GCD of 540, 585, 975, 279 Calculator

Given Input numbers are 540, 585, 975, 279

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

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 279 :

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

1, 3, 9, 31, 93, 279

GCD of numbers is the greatest common divisor

So, the GCD (540, 585, 975, 279) = 3.

Given numbers are 540, 585, 975, 279

The list of prime factors of all numbers are

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 279 are 3 x 3 x 31

The highest common occurrence is 3¹

Therefore, GCD of 540, 585, 975, 279 is 3.

Given numbers are 540, 585, 975, 279

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

Apply this formula for all numbers.

Step1:

LCM(540, 585) = 7020

GCD(540, 585) = ( 540 x 585 ) / 7020

= 540 / 585

= 540

Step2:

LCM(45, 975) = 2925

GCD(45, 975) = ( 45 x 975 ) / 2925

= 45 / 975

= 45

Step3:

LCM(15, 279) = 1395

GCD(15, 279) = ( 15 x 279 ) / 1395

= 15 / 279

= 15

So, Greatest Common Divisor of 540, 585, 975, 279 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 808, 681, 463, 313
• GCD of 315, 498, 110, 350
• GCD of 225, 249, 405, 466
• GCD of 350, 473, 573, 851
• GCD of 819, 642, 287, 346

Given numbers are 540, 585, 975, 279
The greatest common divisor of numbers 540, 585, 975, 279 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 540, 585, 975, 279 is 3.

1. What is the GCD of 540, 585, 975, 279?

GCD of given numbers 540, 585, 975, 279 is 3

2. How to calculate the greatest common divisor of 540, 585, 975, 279?

We can find the highest common divisor of 540, 585, 975, 279 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 540, 585, 975, 279 i.e 3.

3. How can I use the GCD of 540, 585, 975, 279Calculator?

Out the numbers 540, 585, 975, 279 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.