GCD of 765, 756, 441, 328 Calculator

Given Input numbers are 765, 756, 441, 328

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 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 441 :

The positive integer divisors of 441 that completely divides 441 are.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 328 :

The positive integer divisors of 328 that completely divides 328 are.

1, 2, 4, 8, 41, 82, 164, 328

GCD of numbers is the greatest common divisor

So, the GCD (765, 756, 441, 328) = 1.

Given numbers are 765, 756, 441, 328

The list of prime factors of all numbers are

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

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 441 are 3 x 3 x 7 x 7

Prime factors of 328 are 2 x 2 x 2 x 41

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

Given numbers are 765, 756, 441, 328

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

Apply this formula for all numbers.

Step1:

LCM(765, 756) = 64260

GCD(765, 756) = ( 765 x 756 ) / 64260

= 765 / 756

= 765

Step2:

LCM(9, 441) = 441

GCD(9, 441) = ( 9 x 441 ) / 441

= 9 / 441

= 9

Step3:

LCM(9, 328) = 2952

GCD(9, 328) = ( 9 x 328 ) / 2952

= 9 / 328

= 9

So, Greatest Common Divisor of 765, 756, 441, 328 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 415, 948, 701, 998
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Given numbers are 765, 756, 441, 328
The greatest common divisor of numbers 765, 756, 441, 328 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 765, 756, 441, 328 is 1.

1. What is the GCD of 765, 756, 441, 328?

GCD of given numbers 765, 756, 441, 328 is 1

2. How to calculate the greatest common divisor of 765, 756, 441, 328?

We can find the highest common divisor of 765, 756, 441, 328 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, 756, 441, 328 i.e 1.

3. How can I use the GCD of 765, 756, 441, 328Calculator?

Out the numbers 765, 756, 441, 328 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.