GCD of 279, 915, 558, 351 Calculator

Given Input numbers are 279, 915, 558, 351

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 915 :

The positive integer divisors of 915 that completely divides 915 are.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

GCD of numbers is the greatest common divisor

So, the GCD (279, 915, 558, 351) = 3.

Given numbers are 279, 915, 558, 351

The list of prime factors of all numbers are

Prime factors of 279 are 3 x 3 x 31

Prime factors of 915 are 3 x 5 x 61

Prime factors of 558 are 2 x 3 x 3 x 31

Prime factors of 351 are 3 x 3 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 279, 915, 558, 351 is 3.

Given numbers are 279, 915, 558, 351

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

Apply this formula for all numbers.

Step1:

LCM(279, 915) = 85095

GCD(279, 915) = ( 279 x 915 ) / 85095

= 279 / 915

= 279

Step2:

LCM(3, 558) = 558

GCD(3, 558) = ( 3 x 558 ) / 558

= 3 / 558

= 3

Step3:

LCM(3, 351) = 351

GCD(3, 351) = ( 3 x 351 ) / 351

= 3 / 351

= 3

So, Greatest Common Divisor of 279, 915, 558, 351 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 818, 338, 441, 278
• GCD of 997, 285, 805, 978
• GCD of 631, 362, 270, 298
• GCD of 585, 589, 604, 115
• GCD of 356, 202, 842, 185

Given numbers are 279, 915, 558, 351
The greatest common divisor of numbers 279, 915, 558, 351 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 279, 915, 558, 351 is 3.

1. What is the GCD of 279, 915, 558, 351?

GCD of given numbers 279, 915, 558, 351 is 3

2. How to calculate the greatest common divisor of 279, 915, 558, 351?

We can find the highest common divisor of 279, 915, 558, 351 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, 915, 558, 351 i.e 3.

3. How can I use the GCD of 279, 915, 558, 351Calculator?

Out the numbers 279, 915, 558, 351 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.