GCD of 879, 699, 351, 558 Calculator

Given Input numbers are 879, 699, 351, 558

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

Divisors of 879 :

The positive integer divisors of 879 that completely divides 879 are.

1, 3, 293, 879

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

Divisors of 351 :

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

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

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

GCD of numbers is the greatest common divisor

So, the GCD (879, 699, 351, 558) = 3.

Given numbers are 879, 699, 351, 558

The list of prime factors of all numbers are

Prime factors of 879 are 3 x 293

Prime factors of 699 are 3 x 233

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

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

The highest common occurrence is 3¹

Therefore, GCD of 879, 699, 351, 558 is 3.

Given numbers are 879, 699, 351, 558

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

Apply this formula for all numbers.

Step1:

LCM(879, 699) = 204807

GCD(879, 699) = ( 879 x 699 ) / 204807

= 879 / 699

= 879

Step2:

LCM(3, 351) = 351

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

= 3 / 351

= 3

Step3:

LCM(3, 558) = 558

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

= 3 / 558

= 3

So, Greatest Common Divisor of 879, 699, 351, 558 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 514, 752, 774, 261
• GCD of 240, 103, 849, 552
• GCD of 975, 918, 137, 660
• GCD of 752, 257, 382, 738
• GCD of 500, 170, 687, 879

Given numbers are 879, 699, 351, 558
The greatest common divisor of numbers 879, 699, 351, 558 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 879, 699, 351, 558 is 3.

1. What is the GCD of 879, 699, 351, 558?

GCD of given numbers 879, 699, 351, 558 is 3

2. How to calculate the greatest common divisor of 879, 699, 351, 558?

We can find the highest common divisor of 879, 699, 351, 558 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 879, 699, 351, 558 i.e 3.

3. How can I use the GCD of 879, 699, 351, 558Calculator?

Out the numbers 879, 699, 351, 558 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.