GCD of 741, 499, 32, 462 Calculator

Given Input numbers are 741, 499, 32, 462

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 499

List of positive integer divisors of 499 that divides 499 without a remainder.

1, 499

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Greatest Common Divisior

We found the divisors of 741, 499, 32, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 741, 499, 32, 462 is 1.

Therefore, GCD of numbers 741, 499, 32, 462 is 1

Given Input Data is 741, 499, 32, 462

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 499 is 499

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 462 is 2 x 3 x 7 x 11

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(741, 499) = 369759

GCD(741, 499) = ( 741 x 499 ) / 369759

GCD(741, 499) = 369759 / 369759

GCD(741, 499) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 32

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

LCM(1, 32) = 32

GCD(1, 32) = ( 1 x 32 ) / 32

GCD(1, 32) = 32 / 32

GCD(1, 32) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 462

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

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

GCD(1, 462) = 462 / 462

GCD(1, 462) = 1

GCD of 741, 499, 32, 462 is 1

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1. What is the GCD of 741, 499, 32, 462?

GCD of 741, 499, 32, 462 is 1

2. Where do I get the detailed procedure to find GCD of 741, 499, 32, 462?

You can find a detailed procedure to find GCD of 741, 499, 32, 462 on our page.

3. How to find GCD of 741, 499, 32, 462 on a calculator?

You can find the GCD of 741, 499, 32, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.