GCD of 852, 692, 810, 825 Calculator

Given Input numbers are 852, 692, 810, 825

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

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

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 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

GCD of numbers is the greatest common divisor

So, the GCD (852, 692, 810, 825) = 1.

Given numbers are 852, 692, 810, 825

The list of prime factors of all numbers are

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 692 are 2 x 2 x 173

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

Prime factors of 825 are 3 x 5 x 5 x 11

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 852, 692, 810, 825

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

Apply this formula for all numbers.

Step1:

LCM(852, 692) = 147396

GCD(852, 692) = ( 852 x 692 ) / 147396

= 852 / 692

= 852

Step2:

LCM(4, 810) = 1620

GCD(4, 810) = ( 4 x 810 ) / 1620

= 4 / 810

= 4

Step3:

LCM(2, 825) = 1650

GCD(2, 825) = ( 2 x 825 ) / 1650

= 2 / 825

= 2

So, Greatest Common Divisor of 852, 692, 810, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 978, 432, 823, 887
• GCD of 391, 897, 359, 513
• GCD of 682, 607, 643, 524
• GCD of 330, 354, 478, 513
• GCD of 724, 524, 381, 961

Given numbers are 852, 692, 810, 825
The greatest common divisor of numbers 852, 692, 810, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 692, 810, 825 is 1.

1. What is the GCD of 852, 692, 810, 825?

GCD of given numbers 852, 692, 810, 825 is 1

2. How to calculate the greatest common divisor of 852, 692, 810, 825?

We can find the highest common divisor of 852, 692, 810, 825 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 852, 692, 810, 825 i.e 1.

3. How can I use the GCD of 852, 692, 810, 825Calculator?

Out the numbers 852, 692, 810, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.