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 599, 738, 763, 196 i.e. 1 largest integer that divides all the numbers equally.
GCD of 599, 738, 763, 196 is 1
GCD(599, 738, 763, 196) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 599, 738, 763, 196 is 1
GCD(599, 738, 763, 196) = 1
Given Input numbers are 599, 738, 763, 196
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 599
List of positive integer divisors of 599 that divides 599 without a remainder.
1, 599
Divisors of 738
List of positive integer divisors of 738 that divides 738 without a remainder.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 763
List of positive integer divisors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Divisors of 196
List of positive integer divisors of 196 that divides 196 without a remainder.
1, 2, 4, 7, 14, 28, 49, 98, 196
Greatest Common Divisior
We found the divisors of 599, 738, 763, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 599, 738, 763, 196 is 1.
Therefore, GCD of numbers 599, 738, 763, 196 is 1
Given Input Data is 599, 738, 763, 196
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 599 is 599
Prime Factorization of 738 is 2 x 3 x 3 x 41
Prime Factorization of 763 is 7 x 109
Prime Factorization of 196 is 2 x 2 x 7 x 7
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(599, 738) = 442062
GCD(599, 738) = ( 599 x 738 ) / 442062
GCD(599, 738) = 442062 / 442062
GCD(599, 738) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 196
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 196) = 196
GCD(1, 196) = ( 1 x 196 ) / 196
GCD(1, 196) = 196 / 196
GCD(1, 196) = 1
GCD of 599, 738, 763, 196 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 599, 738, 763, 196?
GCD of 599, 738, 763, 196 is 1
2. Where do I get the detailed procedure to find GCD of 599, 738, 763, 196?
You can find a detailed procedure to find GCD of 599, 738, 763, 196 on our page.
3. How to find GCD of 599, 738, 763, 196 on a calculator?
You can find the GCD of 599, 738, 763, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.