GCD of 765, 645, 412, 825 Calculator

Given Input numbers are 765, 645, 412, 825

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

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

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 (765, 645, 412, 825) = 1.

Given numbers are 765, 645, 412, 825

The list of prime factors of all numbers are

Prime factors of 765 are 3 x 3 x 5 x 17

Prime factors of 645 are 3 x 5 x 43

Prime factors of 412 are 2 x 2 x 103

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 765, 645, 412, 825

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

Apply this formula for all numbers.

Step1:

LCM(765, 645) = 32895

GCD(765, 645) = ( 765 x 645 ) / 32895

= 765 / 645

= 765

Step2:

LCM(15, 412) = 6180

GCD(15, 412) = ( 15 x 412 ) / 6180

= 15 / 412

= 15

Step3:

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

= 1 / 825

= 1

So, Greatest Common Divisor of 765, 645, 412, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 443, 363, 709, 680
• GCD of 100, 562, 191, 420
• GCD of 323, 857, 873, 580
• GCD of 340, 559, 349, 677
• GCD of 962, 192, 619, 559

Given numbers are 765, 645, 412, 825
The greatest common divisor of numbers 765, 645, 412, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 765, 645, 412, 825 is 1.

1. What is the GCD of 765, 645, 412, 825?

GCD of given numbers 765, 645, 412, 825 is 1

2. How to calculate the greatest common divisor of 765, 645, 412, 825?

We can find the highest common divisor of 765, 645, 412, 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 765, 645, 412, 825 i.e 1.

3. How can I use the GCD of 765, 645, 412, 825Calculator?

Out the numbers 765, 645, 412, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.