GCD of 735, 991, 464, 721 Calculator

Given Input numbers are 735, 991, 464, 721

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 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

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

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Greatest Common Divisior

We found the divisors of 735, 991, 464, 721 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 991, 464, 721 is 1.

Therefore, GCD of numbers 735, 991, 464, 721 is 1

Given Input Data is 735, 991, 464, 721

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 991 is 991

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

Prime Factorization of 721 is 7 x 103

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, 991) = 728385

GCD(735, 991) = ( 735 x 991 ) / 728385

GCD(735, 991) = 728385 / 728385

GCD(735, 991) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 721

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

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

GCD(1, 721) = 721 / 721

GCD(1, 721) = 1

GCD of 735, 991, 464, 721 is 1

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1. What is the GCD of 735, 991, 464, 721?

GCD of 735, 991, 464, 721 is 1

2. Where do I get the detailed procedure to find GCD of 735, 991, 464, 721?

You can find a detailed procedure to find GCD of 735, 991, 464, 721 on our page.

3. How to find GCD of 735, 991, 464, 721 on a calculator?

You can find the GCD of 735, 991, 464, 721 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.