GCD of 735, 330, 623, 857 Calculator

Given Input numbers are 735, 330, 623, 857

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 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 623

List of positive integer divisors of 623 that divides 623 without a remainder.

1, 7, 89, 623

Divisors of 857

List of positive integer divisors of 857 that divides 857 without a remainder.

1, 857

Greatest Common Divisior

We found the divisors of 735, 330, 623, 857 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 330, 623, 857 is 1.

Therefore, GCD of numbers 735, 330, 623, 857 is 1

Given Input Data is 735, 330, 623, 857

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 330 is 2 x 3 x 5 x 11

Prime Factorization of 623 is 7 x 89

Prime Factorization of 857 is 857

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, 330) = 16170

GCD(735, 330) = ( 735 x 330 ) / 16170

GCD(735, 330) = 242550 / 16170

GCD(735, 330) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 623

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

LCM(15, 623) = 9345

GCD(15, 623) = ( 15 x 623 ) / 9345

GCD(15, 623) = 9345 / 9345

GCD(15, 623) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 857

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

LCM(1, 857) = 857

GCD(1, 857) = ( 1 x 857 ) / 857

GCD(1, 857) = 857 / 857

GCD(1, 857) = 1

GCD of 735, 330, 623, 857 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 940, 257, 550, 832
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• GCD of 462, 743, 558, 788

1. What is the GCD of 735, 330, 623, 857?

GCD of 735, 330, 623, 857 is 1

2. Where do I get the detailed procedure to find GCD of 735, 330, 623, 857?

You can find a detailed procedure to find GCD of 735, 330, 623, 857 on our page.

3. How to find GCD of 735, 330, 623, 857 on a calculator?

You can find the GCD of 735, 330, 623, 857 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.