GCD of 861, 810, 372, 522 Calculator

Given Input numbers are 861, 810, 372, 522

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

Divisors of 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 810 :

The positive integer divisors of 810 that completely divides 810 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

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 (861, 810, 372, 522) = 3.

Given numbers are 861, 810, 372, 522

The list of prime factors of all numbers are

Prime factors of 861 are 3 x 7 x 41

Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5

Prime factors of 372 are 2 x 2 x 3 x 31

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

The highest common occurrence is 3¹

Therefore, GCD of 861, 810, 372, 522 is 3.

Given numbers are 861, 810, 372, 522

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

Apply this formula for all numbers.

Step1:

LCM(861, 810) = 232470

GCD(861, 810) = ( 861 x 810 ) / 232470

= 861 / 810

= 861

Step2:

LCM(3, 372) = 372

GCD(3, 372) = ( 3 x 372 ) / 372

= 3 / 372

= 3

Step3:

LCM(3, 522) = 522

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

= 3 / 522

= 3

So, Greatest Common Divisor of 861, 810, 372, 522 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 884, 903, 748, 748
• GCD of 199, 712, 720, 206
• GCD of 578, 743, 673, 909
• GCD of 974, 295, 140, 693
• GCD of 501, 415, 835, 141

Given numbers are 861, 810, 372, 522
The greatest common divisor of numbers 861, 810, 372, 522 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 861, 810, 372, 522 is 3.

1. What is the GCD of 861, 810, 372, 522?

GCD of given numbers 861, 810, 372, 522 is 3

2. How to calculate the greatest common divisor of 861, 810, 372, 522?

We can find the highest common divisor of 861, 810, 372, 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 861, 810, 372, 522 i.e 3.

3. How can I use the GCD of 861, 810, 372, 522Calculator?

Out the numbers 861, 810, 372, 522 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.