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, 197, 87, 774 i.e. 1 largest integer that divides all the numbers equally.
GCD of 708, 197, 87, 774 is 1
GCD(708, 197, 87, 774) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 708, 197, 87, 774 is 1
GCD(708, 197, 87, 774) = 1
Given Input numbers are 708, 197, 87, 774
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 197
List of positive integer divisors of 197 that divides 197 without a remainder.
1, 197
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 774
List of positive integer divisors of 774 that divides 774 without a remainder.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Greatest Common Divisior
We found the divisors of 708, 197, 87, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 197, 87, 774 is 1.
Therefore, GCD of numbers 708, 197, 87, 774 is 1
Given Input Data is 708, 197, 87, 774
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 197 is 197
Prime Factorization of 87 is 3 x 29
Prime Factorization of 774 is 2 x 3 x 3 x 43
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, 197) = 139476
GCD(708, 197) = ( 708 x 197 ) / 139476
GCD(708, 197) = 139476 / 139476
GCD(708, 197) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 87
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 87) = 87
GCD(1, 87) = ( 1 x 87 ) / 87
GCD(1, 87) = 87 / 87
GCD(1, 87) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 774
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 774) = 774
GCD(1, 774) = ( 1 x 774 ) / 774
GCD(1, 774) = 774 / 774
GCD(1, 774) = 1
GCD of 708, 197, 87, 774 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 708, 197, 87, 774?
GCD of 708, 197, 87, 774 is 1
2. Where do I get the detailed procedure to find GCD of 708, 197, 87, 774?
You can find a detailed procedure to find GCD of 708, 197, 87, 774 on our page.
3. How to find GCD of 708, 197, 87, 774 on a calculator?
You can find the GCD of 708, 197, 87, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.