Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 154, 572, 17, 814 i.e. 1 largest integer that divides all the numbers equally.
GCD of 154, 572, 17, 814 is 1
GCD(154, 572, 17, 814) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 154, 572, 17, 814 is 1
GCD(154, 572, 17, 814) = 1
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.
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.