GCD of 154, 572, 17, 814 Calculator

Given Input numbers are 154, 572, 17, 814

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

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Greatest Common Divisior

We found the divisors of 154, 572, 17, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 572, 17, 814 is 1.

Therefore, GCD of numbers 154, 572, 17, 814 is 1

Given Input Data is 154, 572, 17, 814

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

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 572 is 2 x 2 x 11 x 13

Prime Factorization of 17 is 17

Prime Factorization of 814 is 2 x 11 x 37

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(154, 572) = 4004

GCD(154, 572) = ( 154 x 572 ) / 4004

GCD(154, 572) = 88088 / 4004

GCD(154, 572) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 17

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

LCM(22, 17) = 374

GCD(22, 17) = ( 22 x 17 ) / 374

GCD(22, 17) = 374 / 374

GCD(22, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

GCD of 154, 572, 17, 814 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 254, 712, 76, 978
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• GCD of 863, 669, 32, 315
• GCD of 852, 313, 31, 897

1. What is the GCD of 154, 572, 17, 814?

GCD of 154, 572, 17, 814 is 1

2. Where do I get the detailed procedure to find GCD of 154, 572, 17, 814?

You can find a detailed procedure to find GCD of 154, 572, 17, 814 on our page.

3. How to find GCD of 154, 572, 17, 814 on a calculator?

You can find the GCD of 154, 572, 17, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.