GCD of 746, 852, 16, 411 Calculator

Given Input numbers are 746, 852, 16, 411

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

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 411

List of positive integer divisors of 411 that divides 411 without a remainder.

1, 3, 137, 411

Greatest Common Divisior

We found the divisors of 746, 852, 16, 411 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 746, 852, 16, 411 is 1.

Therefore, GCD of numbers 746, 852, 16, 411 is 1

Given Input Data is 746, 852, 16, 411

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

Prime Factorization of 746 is 2 x 373

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 411 is 3 x 137

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(746, 852) = 317796

GCD(746, 852) = ( 746 x 852 ) / 317796

GCD(746, 852) = 635592 / 317796

GCD(746, 852) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 16

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

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

GCD(2, 16) = 32 / 16

GCD(2, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 411

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

LCM(2, 411) = 822

GCD(2, 411) = ( 2 x 411 ) / 822

GCD(2, 411) = 822 / 822

GCD(2, 411) = 1

GCD of 746, 852, 16, 411 is 1

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1. What is the GCD of 746, 852, 16, 411?

GCD of 746, 852, 16, 411 is 1

2. Where do I get the detailed procedure to find GCD of 746, 852, 16, 411?

You can find a detailed procedure to find GCD of 746, 852, 16, 411 on our page.

3. How to find GCD of 746, 852, 16, 411 on a calculator?

You can find the GCD of 746, 852, 16, 411 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.