GCD of 735, 651, 82, 256 Calculator

Given Input numbers are 735, 651, 82, 256

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

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

Divisors of 651

List of positive integer divisors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 256

List of positive integer divisors of 256 that divides 256 without a remainder.

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

Greatest Common Divisior

We found the divisors of 735, 651, 82, 256 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 651, 82, 256 is 1.

Therefore, GCD of numbers 735, 651, 82, 256 is 1

Given Input Data is 735, 651, 82, 256

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 651 is 3 x 7 x 31

Prime Factorization of 82 is 2 x 41

Prime Factorization of 256 is 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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(735, 651) = 22785

GCD(735, 651) = ( 735 x 651 ) / 22785

GCD(735, 651) = 478485 / 22785

GCD(735, 651) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 82

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

LCM(21, 82) = 1722

GCD(21, 82) = ( 21 x 82 ) / 1722

GCD(21, 82) = 1722 / 1722

GCD(21, 82) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 256

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

LCM(1, 256) = 256

GCD(1, 256) = ( 1 x 256 ) / 256

GCD(1, 256) = 256 / 256

GCD(1, 256) = 1

GCD of 735, 651, 82, 256 is 1

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• GCD of 343, 821, 55, 646
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• GCD of 864, 244, 18, 894

1. What is the GCD of 735, 651, 82, 256?

GCD of 735, 651, 82, 256 is 1

2. Where do I get the detailed procedure to find GCD of 735, 651, 82, 256?

You can find a detailed procedure to find GCD of 735, 651, 82, 256 on our page.

3. How to find GCD of 735, 651, 82, 256 on a calculator?

You can find the GCD of 735, 651, 82, 256 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.