GCD of 40, 414, 392, 161 Calculator

Given Input numbers are 40, 414, 392, 161

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

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Greatest Common Divisior

We found the divisors of 40, 414, 392, 161 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 414, 392, 161 is 1.

Therefore, GCD of numbers 40, 414, 392, 161 is 1

Given Input Data is 40, 414, 392, 161

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 161 is 7 x 23

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(40, 414) = 8280

GCD(40, 414) = ( 40 x 414 ) / 8280

GCD(40, 414) = 16560 / 8280

GCD(40, 414) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 392

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

LCM(2, 392) = 392

GCD(2, 392) = ( 2 x 392 ) / 392

GCD(2, 392) = 784 / 392

GCD(2, 392) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 161

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

LCM(2, 161) = 322

GCD(2, 161) = ( 2 x 161 ) / 322

GCD(2, 161) = 322 / 322

GCD(2, 161) = 1

GCD of 40, 414, 392, 161 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 15, 527, 116, 882
• GCD of 46, 245, 121, 716
• GCD of 55, 312, 885, 875
• GCD of 30, 168, 946, 528
• GCD of 37, 614, 539, 266

1. What is the GCD of 40, 414, 392, 161?

GCD of 40, 414, 392, 161 is 1

2. Where do I get the detailed procedure to find GCD of 40, 414, 392, 161?

You can find a detailed procedure to find GCD of 40, 414, 392, 161 on our page.

3. How to find GCD of 40, 414, 392, 161 on a calculator?

You can find the GCD of 40, 414, 392, 161 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.