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 597, 364, 78, 763 i.e. 1 largest integer that divides all the numbers equally.
GCD of 597, 364, 78, 763 is 1
GCD(597, 364, 78, 763) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 597, 364, 78, 763 is 1
GCD(597, 364, 78, 763) = 1
Given Input numbers are 597, 364, 78, 763
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 597
List of positive integer divisors of 597 that divides 597 without a remainder.
1, 3, 199, 597
Divisors of 364
List of positive integer divisors of 364 that divides 364 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
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 597, 364, 78, 763 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 597, 364, 78, 763 is 1.
Therefore, GCD of numbers 597, 364, 78, 763 is 1
Given Input Data is 597, 364, 78, 763
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 597 is 3 x 199
Prime Factorization of 364 is 2 x 2 x 7 x 13
Prime Factorization of 78 is 2 x 3 x 13
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(597, 364) = 217308
GCD(597, 364) = ( 597 x 364 ) / 217308
GCD(597, 364) = 217308 / 217308
GCD(597, 364) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 78
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 78) = 78
GCD(1, 78) = ( 1 x 78 ) / 78
GCD(1, 78) = 78 / 78
GCD(1, 78) = 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 597, 364, 78, 763 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 597, 364, 78, 763?
GCD of 597, 364, 78, 763 is 1
2. Where do I get the detailed procedure to find GCD of 597, 364, 78, 763?
You can find a detailed procedure to find GCD of 597, 364, 78, 763 on our page.
3. How to find GCD of 597, 364, 78, 763 on a calculator?
You can find the GCD of 597, 364, 78, 763 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.