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 708, 739, 19, 971 i.e. 1 largest integer that divides all the numbers equally.
GCD of 708, 739, 19, 971 is 1
GCD(708, 739, 19, 971) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 708, 739, 19, 971 is 1
GCD(708, 739, 19, 971) = 1
Given Input numbers are 708, 739, 19, 971
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 708
List of positive integer divisors of 708 that divides 708 without a remainder.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 739
List of positive integer divisors of 739 that divides 739 without a remainder.
1, 739
Divisors of 19
List of positive integer divisors of 19 that divides 19 without a remainder.
1, 19
Divisors of 971
List of positive integer divisors of 971 that divides 971 without a remainder.
1, 971
Greatest Common Divisior
We found the divisors of 708, 739, 19, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 739, 19, 971 is 1.
Therefore, GCD of numbers 708, 739, 19, 971 is 1
Given Input Data is 708, 739, 19, 971
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 708 is 2 x 2 x 3 x 59
Prime Factorization of 739 is 739
Prime Factorization of 19 is 19
Prime Factorization of 971 is 971
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(708, 739) = 523212
GCD(708, 739) = ( 708 x 739 ) / 523212
GCD(708, 739) = 523212 / 523212
GCD(708, 739) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 19
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 19) = 19
GCD(1, 19) = ( 1 x 19 ) / 19
GCD(1, 19) = 19 / 19
GCD(1, 19) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 971
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 971) = 971
GCD(1, 971) = ( 1 x 971 ) / 971
GCD(1, 971) = 971 / 971
GCD(1, 971) = 1
GCD of 708, 739, 19, 971 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 708, 739, 19, 971?
GCD of 708, 739, 19, 971 is 1
2. Where do I get the detailed procedure to find GCD of 708, 739, 19, 971?
You can find a detailed procedure to find GCD of 708, 739, 19, 971 on our page.
3. How to find GCD of 708, 739, 19, 971 on a calculator?
You can find the GCD of 708, 739, 19, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.