GCD of 735, 885, 71, 621 Calculator

Given Input numbers are 735, 885, 71, 621

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 885

List of positive integer divisors of 885 that divides 885 without a remainder.

1, 3, 5, 15, 59, 177, 295, 885

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 621

List of positive integer divisors of 621 that divides 621 without a remainder.

1, 3, 9, 23, 27, 69, 207, 621

Greatest Common Divisior

We found the divisors of 735, 885, 71, 621 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 885, 71, 621 is 1.

Therefore, GCD of numbers 735, 885, 71, 621 is 1

Given Input Data is 735, 885, 71, 621

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 885 is 3 x 5 x 59

Prime Factorization of 71 is 71

Prime Factorization of 621 is 3 x 3 x 3 x 23

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, 885) = 43365

GCD(735, 885) = ( 735 x 885 ) / 43365

GCD(735, 885) = 650475 / 43365

GCD(735, 885) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 71

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

LCM(15, 71) = 1065

GCD(15, 71) = ( 15 x 71 ) / 1065

GCD(15, 71) = 1065 / 1065

GCD(15, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 621

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

LCM(1, 621) = 621

GCD(1, 621) = ( 1 x 621 ) / 621

GCD(1, 621) = 621 / 621

GCD(1, 621) = 1

GCD of 735, 885, 71, 621 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 359, 534, 64, 592
• GCD of 975, 212, 57, 683
• GCD of 231, 368, 10, 537
• GCD of 990, 324, 59, 940
• GCD of 720, 459, 44, 701

1. What is the GCD of 735, 885, 71, 621?

GCD of 735, 885, 71, 621 is 1

2. Where do I get the detailed procedure to find GCD of 735, 885, 71, 621?

You can find a detailed procedure to find GCD of 735, 885, 71, 621 on our page.

3. How to find GCD of 735, 885, 71, 621 on a calculator?

You can find the GCD of 735, 885, 71, 621 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.