GCD of 735, 165, 363, 256 Calculator

Given Input numbers are 735, 165, 363, 256

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

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

Divisors of 256 :

The positive integer divisors of 256 that completely divides 256 are.

1, 2, 4, 8, 16, 32, 64, 128, 256

GCD of numbers is the greatest common divisor

So, the GCD (735, 165, 363, 256) = 1.

Given numbers are 735, 165, 363, 256

The list of prime factors of all numbers are

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 165 are 3 x 5 x 11

Prime factors of 363 are 3 x 11 x 11

Prime factors of 256 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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

Given numbers are 735, 165, 363, 256

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

Apply this formula for all numbers.

Step1:

LCM(735, 165) = 8085

GCD(735, 165) = ( 735 x 165 ) / 8085

= 735 / 165

= 735

Step2:

LCM(15, 363) = 1815

GCD(15, 363) = ( 15 x 363 ) / 1815

= 15 / 363

= 15

Step3:

LCM(3, 256) = 768

GCD(3, 256) = ( 3 x 256 ) / 768

= 3 / 256

= 3

So, Greatest Common Divisor of 735, 165, 363, 256 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 542, 114, 670, 747
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Given numbers are 735, 165, 363, 256
The greatest common divisor of numbers 735, 165, 363, 256 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 165, 363, 256 is 1.

1. What is the GCD of 735, 165, 363, 256?

GCD of given numbers 735, 165, 363, 256 is 1

2. How to calculate the greatest common divisor of 735, 165, 363, 256?

We can find the highest common divisor of 735, 165, 363, 256 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 735, 165, 363, 256 i.e 1.

3. How can I use the GCD of 735, 165, 363, 256Calculator?

Out the numbers 735, 165, 363, 256 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.