GCD of 735, 102, 487, 481 Calculator

Given Input numbers are 735, 102, 487, 481

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 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 487

List of positive integer divisors of 487 that divides 487 without a remainder.

1, 487

Divisors of 481

List of positive integer divisors of 481 that divides 481 without a remainder.

1, 13, 37, 481

Greatest Common Divisior

We found the divisors of 735, 102, 487, 481 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 102, 487, 481 is 1.

Therefore, GCD of numbers 735, 102, 487, 481 is 1

Given Input Data is 735, 102, 487, 481

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 102 is 2 x 3 x 17

Prime Factorization of 487 is 487

Prime Factorization of 481 is 13 x 37

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, 102) = 24990

GCD(735, 102) = ( 735 x 102 ) / 24990

GCD(735, 102) = 74970 / 24990

GCD(735, 102) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 487

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

LCM(3, 487) = 1461

GCD(3, 487) = ( 3 x 487 ) / 1461

GCD(3, 487) = 1461 / 1461

GCD(3, 487) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 481

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

LCM(1, 481) = 481

GCD(1, 481) = ( 1 x 481 ) / 481

GCD(1, 481) = 481 / 481

GCD(1, 481) = 1

GCD of 735, 102, 487, 481 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 280, 646, 687, 469
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• GCD of 423, 152, 866, 764
• GCD of 310, 186, 771, 431
• GCD of 391, 968, 245, 948

1. What is the GCD of 735, 102, 487, 481?

GCD of 735, 102, 487, 481 is 1

2. Where do I get the detailed procedure to find GCD of 735, 102, 487, 481?

You can find a detailed procedure to find GCD of 735, 102, 487, 481 on our page.

3. How to find GCD of 735, 102, 487, 481 on a calculator?

You can find the GCD of 735, 102, 487, 481 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.