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 344, 570, 55, 156 i.e. 1 largest integer that divides all the numbers equally.
GCD of 344, 570, 55, 156 is 1
GCD(344, 570, 55, 156) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 344, 570, 55, 156 is 1
GCD(344, 570, 55, 156) = 1
Given Input numbers are 344, 570, 55, 156
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 344
List of positive integer divisors of 344 that divides 344 without a remainder.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 570
List of positive integer divisors of 570 that divides 570 without a remainder.
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
Divisors of 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
Divisors of 156
List of positive integer divisors of 156 that divides 156 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Greatest Common Divisior
We found the divisors of 344, 570, 55, 156 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 570, 55, 156 is 1.
Therefore, GCD of numbers 344, 570, 55, 156 is 1
Given Input Data is 344, 570, 55, 156
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 344 is 2 x 2 x 2 x 43
Prime Factorization of 570 is 2 x 3 x 5 x 19
Prime Factorization of 55 is 5 x 11
Prime Factorization of 156 is 2 x 2 x 3 x 13
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(344, 570) = 98040
GCD(344, 570) = ( 344 x 570 ) / 98040
GCD(344, 570) = 196080 / 98040
GCD(344, 570) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 55
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 55) = 110
GCD(2, 55) = ( 2 x 55 ) / 110
GCD(2, 55) = 110 / 110
GCD(2, 55) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 156
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 156) = 156
GCD(1, 156) = ( 1 x 156 ) / 156
GCD(1, 156) = 156 / 156
GCD(1, 156) = 1
GCD of 344, 570, 55, 156 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 344, 570, 55, 156?
GCD of 344, 570, 55, 156 is 1
2. Where do I get the detailed procedure to find GCD of 344, 570, 55, 156?
You can find a detailed procedure to find GCD of 344, 570, 55, 156 on our page.
3. How to find GCD of 344, 570, 55, 156 on a calculator?
You can find the GCD of 344, 570, 55, 156 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.