GCD of 735, 997, 99, 464 Calculator

Given Input numbers are 735, 997, 99, 464

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 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Greatest Common Divisior

We found the divisors of 735, 997, 99, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 997, 99, 464 is 1.

Therefore, GCD of numbers 735, 997, 99, 464 is 1

Given Input Data is 735, 997, 99, 464

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 997 is 997

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

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, 997) = 732795

GCD(735, 997) = ( 735 x 997 ) / 732795

GCD(735, 997) = 732795 / 732795

GCD(735, 997) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 464

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

LCM(1, 464) = 464

GCD(1, 464) = ( 1 x 464 ) / 464

GCD(1, 464) = 464 / 464

GCD(1, 464) = 1

GCD of 735, 997, 99, 464 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 444, 953, 77, 290
• GCD of 411, 406, 84, 448
• GCD of 594, 623, 69, 680
• GCD of 148, 676, 30, 915
• GCD of 463, 320, 50, 209

1. What is the GCD of 735, 997, 99, 464?

GCD of 735, 997, 99, 464 is 1

2. Where do I get the detailed procedure to find GCD of 735, 997, 99, 464?

You can find a detailed procedure to find GCD of 735, 997, 99, 464 on our page.

3. How to find GCD of 735, 997, 99, 464 on a calculator?

You can find the GCD of 735, 997, 99, 464 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.