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, 600, 776, 538 i.e. 1 largest integer that divides all the numbers equally.
GCD of 329, 600, 776, 538 is 1
GCD(329, 600, 776, 538) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 329, 600, 776, 538 is 1
GCD(329, 600, 776, 538) = 1
Given Input numbers are 329, 600, 776, 538
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 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 776
List of positive integer divisors of 776 that divides 776 without a remainder.
1, 2, 4, 8, 97, 194, 388, 776
Divisors of 538
List of positive integer divisors of 538 that divides 538 without a remainder.
1, 2, 269, 538
Greatest Common Divisior
We found the divisors of 329, 600, 776, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 329, 600, 776, 538 is 1.
Therefore, GCD of numbers 329, 600, 776, 538 is 1
Given Input Data is 329, 600, 776, 538
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 329 is 7 x 47
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 776 is 2 x 2 x 2 x 97
Prime Factorization of 538 is 2 x 269
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, 600) = 197400
GCD(329, 600) = ( 329 x 600 ) / 197400
GCD(329, 600) = 197400 / 197400
GCD(329, 600) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 776
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 776) = 776
GCD(1, 776) = ( 1 x 776 ) / 776
GCD(1, 776) = 776 / 776
GCD(1, 776) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 538
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 538) = 538
GCD(1, 538) = ( 1 x 538 ) / 538
GCD(1, 538) = 538 / 538
GCD(1, 538) = 1
GCD of 329, 600, 776, 538 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 329, 600, 776, 538?
GCD of 329, 600, 776, 538 is 1
2. Where do I get the detailed procedure to find GCD of 329, 600, 776, 538?
You can find a detailed procedure to find GCD of 329, 600, 776, 538 on our page.
3. How to find GCD of 329, 600, 776, 538 on a calculator?
You can find the GCD of 329, 600, 776, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.