GCD of 736, 792, 922, 411 Calculator

Given Input numbers are 736, 792, 922, 411

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

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

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 736, 792, 922, 411 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 792, 922, 411 is 1.

Therefore, GCD of numbers 736, 792, 922, 411 is 1

Given Input Data is 736, 792, 922, 411

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

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 922 is 2 x 461

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(736, 792) = 72864

GCD(736, 792) = ( 736 x 792 ) / 72864

GCD(736, 792) = 582912 / 72864

GCD(736, 792) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 922

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

LCM(8, 922) = 3688

GCD(8, 922) = ( 8 x 922 ) / 3688

GCD(8, 922) = 7376 / 3688

GCD(8, 922) = 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 736, 792, 922, 411 is 1

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1. What is the GCD of 736, 792, 922, 411?

GCD of 736, 792, 922, 411 is 1

2. Where do I get the detailed procedure to find GCD of 736, 792, 922, 411?

You can find a detailed procedure to find GCD of 736, 792, 922, 411 on our page.

3. How to find GCD of 736, 792, 922, 411 on a calculator?

You can find the GCD of 736, 792, 922, 411 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.