GCD of 879, 723, 969, 522 Calculator

Given Input numbers are 879, 723, 969, 522

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 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

GCD of numbers is the greatest common divisor

So, the GCD (879, 723, 969, 522) = 3.

Given numbers are 879, 723, 969, 522

The list of prime factors of all numbers are

Prime factors of 879 are 3 x 293

Prime factors of 723 are 3 x 241

Prime factors of 969 are 3 x 17 x 19

Prime factors of 522 are 2 x 3 x 3 x 29

The highest common occurrence is 3¹

Therefore, GCD of 879, 723, 969, 522 is 3.

Given numbers are 879, 723, 969, 522

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

Apply this formula for all numbers.

Step1:

LCM(879, 723) = 211839

GCD(879, 723) = ( 879 x 723 ) / 211839

= 879 / 723

= 879

Step2:

LCM(3, 969) = 969

GCD(3, 969) = ( 3 x 969 ) / 969

= 3 / 969

= 3

Step3:

LCM(3, 522) = 522

GCD(3, 522) = ( 3 x 522 ) / 522

= 3 / 522

= 3

So, Greatest Common Divisor of 879, 723, 969, 522 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 426, 385, 796, 287
• GCD of 381, 361, 655, 780
• GCD of 502, 920, 612, 395
• GCD of 242, 823, 893, 937
• GCD of 132, 489, 818, 989

Given numbers are 879, 723, 969, 522
The greatest common divisor of numbers 879, 723, 969, 522 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 879, 723, 969, 522 is 3.

1. What is the GCD of 879, 723, 969, 522?

GCD of given numbers 879, 723, 969, 522 is 3

2. How to calculate the greatest common divisor of 879, 723, 969, 522?

We can find the highest common divisor of 879, 723, 969, 522 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, 723, 969, 522 i.e 3.

3. How can I use the GCD of 879, 723, 969, 522Calculator?

Out the numbers 879, 723, 969, 522 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.