GCD of 735, 660, 857, 443 Calculator

Given Input numbers are 735, 660, 857, 443

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 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 857

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

1, 857

Divisors of 443

List of positive integer divisors of 443 that divides 443 without a remainder.

1, 443

Greatest Common Divisior

We found the divisors of 735, 660, 857, 443 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 660, 857, 443 is 1.

Therefore, GCD of numbers 735, 660, 857, 443 is 1

Given Input Data is 735, 660, 857, 443

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 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 857 is 857

Prime Factorization of 443 is 443

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, 660) = 32340

GCD(735, 660) = ( 735 x 660 ) / 32340

GCD(735, 660) = 485100 / 32340

GCD(735, 660) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 857

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

LCM(15, 857) = 12855

GCD(15, 857) = ( 15 x 857 ) / 12855

GCD(15, 857) = 12855 / 12855

GCD(15, 857) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 443

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

LCM(1, 443) = 443

GCD(1, 443) = ( 1 x 443 ) / 443

GCD(1, 443) = 443 / 443

GCD(1, 443) = 1

GCD of 735, 660, 857, 443 is 1

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1. What is the GCD of 735, 660, 857, 443?

GCD of 735, 660, 857, 443 is 1

2. Where do I get the detailed procedure to find GCD of 735, 660, 857, 443?

You can find a detailed procedure to find GCD of 735, 660, 857, 443 on our page.

3. How to find GCD of 735, 660, 857, 443 on a calculator?

You can find the GCD of 735, 660, 857, 443 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.