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 328, 971, 694, 763 i.e. 1 largest integer that divides all the numbers equally.
GCD of 328, 971, 694, 763 is 1
GCD(328, 971, 694, 763) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 328, 971, 694, 763 is 1
GCD(328, 971, 694, 763) = 1
Given Input numbers are 328, 971, 694, 763
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 328
List of positive integer divisors of 328 that divides 328 without a remainder.
1, 2, 4, 8, 41, 82, 164, 328
Divisors of 971
List of positive integer divisors of 971 that divides 971 without a remainder.
1, 971
Divisors of 694
List of positive integer divisors of 694 that divides 694 without a remainder.
1, 2, 347, 694
Divisors of 763
List of positive integer divisors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Greatest Common Divisior
We found the divisors of 328, 971, 694, 763 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 328, 971, 694, 763 is 1.
Therefore, GCD of numbers 328, 971, 694, 763 is 1
Given Input Data is 328, 971, 694, 763
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 328 is 2 x 2 x 2 x 41
Prime Factorization of 971 is 971
Prime Factorization of 694 is 2 x 347
Prime Factorization of 763 is 7 x 109
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(328, 971) = 318488
GCD(328, 971) = ( 328 x 971 ) / 318488
GCD(328, 971) = 318488 / 318488
GCD(328, 971) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 694
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 694) = 694
GCD(1, 694) = ( 1 x 694 ) / 694
GCD(1, 694) = 694 / 694
GCD(1, 694) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 763
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 763) = 763
GCD(1, 763) = ( 1 x 763 ) / 763
GCD(1, 763) = 763 / 763
GCD(1, 763) = 1
GCD of 328, 971, 694, 763 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 328, 971, 694, 763?
GCD of 328, 971, 694, 763 is 1
2. Where do I get the detailed procedure to find GCD of 328, 971, 694, 763?
You can find a detailed procedure to find GCD of 328, 971, 694, 763 on our page.
3. How to find GCD of 328, 971, 694, 763 on a calculator?
You can find the GCD of 328, 971, 694, 763 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.