GCD of 765, 648, 453, 636 Calculator

Given Input numbers are 765, 648, 453, 636

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 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 453 :

The positive integer divisors of 453 that completely divides 453 are.

1, 3, 151, 453

Divisors of 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

GCD of numbers is the greatest common divisor

So, the GCD (765, 648, 453, 636) = 3.

Given numbers are 765, 648, 453, 636

The list of prime factors of all numbers are

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

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 453 are 3 x 151

Prime factors of 636 are 2 x 2 x 3 x 53

The highest common occurrence is 3¹

Therefore, GCD of 765, 648, 453, 636 is 3.

Given numbers are 765, 648, 453, 636

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

Apply this formula for all numbers.

Step1:

LCM(765, 648) = 55080

GCD(765, 648) = ( 765 x 648 ) / 55080

= 765 / 648

= 765

Step2:

LCM(9, 453) = 1359

GCD(9, 453) = ( 9 x 453 ) / 1359

= 9 / 453

= 9

Step3:

LCM(3, 636) = 636

GCD(3, 636) = ( 3 x 636 ) / 636

= 3 / 636

= 3

So, Greatest Common Divisor of 765, 648, 453, 636 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 725, 395, 108, 808
• GCD of 475, 506, 162, 719
• GCD of 802, 935, 654, 775
• GCD of 166, 178, 376, 535
• GCD of 309, 301, 214, 402

Given numbers are 765, 648, 453, 636
The greatest common divisor of numbers 765, 648, 453, 636 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 765, 648, 453, 636 is 3.

1. What is the GCD of 765, 648, 453, 636?

GCD of given numbers 765, 648, 453, 636 is 3

2. How to calculate the greatest common divisor of 765, 648, 453, 636?

We can find the highest common divisor of 765, 648, 453, 636 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, 648, 453, 636 i.e 3.

3. How can I use the GCD of 765, 648, 453, 636Calculator?

Out the numbers 765, 648, 453, 636 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.