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 329, 560, 508, 137 i.e. 1 largest integer that divides all the numbers equally.
GCD of 329, 560, 508, 137 is 1
GCD(329, 560, 508, 137) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 329, 560, 508, 137 is 1
GCD(329, 560, 508, 137) = 1
Given Input numbers are 329, 560, 508, 137
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 329
List of positive integer divisors of 329 that divides 329 without a remainder.
1, 7, 47, 329
Divisors of 560
List of positive integer divisors of 560 that divides 560 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 508
List of positive integer divisors of 508 that divides 508 without a remainder.
1, 2, 4, 127, 254, 508
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Greatest Common Divisior
We found the divisors of 329, 560, 508, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 329, 560, 508, 137 is 1.
Therefore, GCD of numbers 329, 560, 508, 137 is 1
Given Input Data is 329, 560, 508, 137
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 329 is 7 x 47
Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7
Prime Factorization of 508 is 2 x 2 x 127
Prime Factorization of 137 is 137
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(329, 560) = 26320
GCD(329, 560) = ( 329 x 560 ) / 26320
GCD(329, 560) = 184240 / 26320
GCD(329, 560) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 508
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 508) = 3556
GCD(7, 508) = ( 7 x 508 ) / 3556
GCD(7, 508) = 3556 / 3556
GCD(7, 508) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 137
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 137) = 137
GCD(1, 137) = ( 1 x 137 ) / 137
GCD(1, 137) = 137 / 137
GCD(1, 137) = 1
GCD of 329, 560, 508, 137 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 329, 560, 508, 137?
GCD of 329, 560, 508, 137 is 1
2. Where do I get the detailed procedure to find GCD of 329, 560, 508, 137?
You can find a detailed procedure to find GCD of 329, 560, 508, 137 on our page.
3. How to find GCD of 329, 560, 508, 137 on a calculator?
You can find the GCD of 329, 560, 508, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.