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 565, 341, 142, 639 i.e. 1 largest integer that divides all the numbers equally.
GCD of 565, 341, 142, 639 is 1
GCD(565, 341, 142, 639) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 565, 341, 142, 639 is 1
GCD(565, 341, 142, 639) = 1
Given Input numbers are 565, 341, 142, 639
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 565
List of positive integer divisors of 565 that divides 565 without a remainder.
1, 5, 113, 565
Divisors of 341
List of positive integer divisors of 341 that divides 341 without a remainder.
1, 11, 31, 341
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Divisors of 639
List of positive integer divisors of 639 that divides 639 without a remainder.
1, 3, 9, 71, 213, 639
Greatest Common Divisior
We found the divisors of 565, 341, 142, 639 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 565, 341, 142, 639 is 1.
Therefore, GCD of numbers 565, 341, 142, 639 is 1
Given Input Data is 565, 341, 142, 639
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 565 is 5 x 113
Prime Factorization of 341 is 11 x 31
Prime Factorization of 142 is 2 x 71
Prime Factorization of 639 is 3 x 3 x 71
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(565, 341) = 192665
GCD(565, 341) = ( 565 x 341 ) / 192665
GCD(565, 341) = 192665 / 192665
GCD(565, 341) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 142
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
GCD(1, 142) = 142 / 142
GCD(1, 142) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 639
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 639) = 639
GCD(1, 639) = ( 1 x 639 ) / 639
GCD(1, 639) = 639 / 639
GCD(1, 639) = 1
GCD of 565, 341, 142, 639 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 565, 341, 142, 639?
GCD of 565, 341, 142, 639 is 1
2. Where do I get the detailed procedure to find GCD of 565, 341, 142, 639?
You can find a detailed procedure to find GCD of 565, 341, 142, 639 on our page.
3. How to find GCD of 565, 341, 142, 639 on a calculator?
You can find the GCD of 565, 341, 142, 639 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.