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 693, 668, 77, 199 i.e. 1 largest integer that divides all the numbers equally.
GCD of 693, 668, 77, 199 is 1
GCD(693, 668, 77, 199) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 693, 668, 77, 199 is 1
GCD(693, 668, 77, 199) = 1
Given Input numbers are 693, 668, 77, 199
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 693
List of positive integer divisors of 693 that divides 693 without a remainder.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 668
List of positive integer divisors of 668 that divides 668 without a remainder.
1, 2, 4, 167, 334, 668
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 199
List of positive integer divisors of 199 that divides 199 without a remainder.
1, 199
Greatest Common Divisior
We found the divisors of 693, 668, 77, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 693, 668, 77, 199 is 1.
Therefore, GCD of numbers 693, 668, 77, 199 is 1
Given Input Data is 693, 668, 77, 199
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 693 is 3 x 3 x 7 x 11
Prime Factorization of 668 is 2 x 2 x 167
Prime Factorization of 77 is 7 x 11
Prime Factorization of 199 is 199
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(693, 668) = 462924
GCD(693, 668) = ( 693 x 668 ) / 462924
GCD(693, 668) = 462924 / 462924
GCD(693, 668) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 77) = 77
GCD(1, 77) = ( 1 x 77 ) / 77
GCD(1, 77) = 77 / 77
GCD(1, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 199
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 199) = 199
GCD(1, 199) = ( 1 x 199 ) / 199
GCD(1, 199) = 199 / 199
GCD(1, 199) = 1
GCD of 693, 668, 77, 199 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 693, 668, 77, 199?
GCD of 693, 668, 77, 199 is 1
2. Where do I get the detailed procedure to find GCD of 693, 668, 77, 199?
You can find a detailed procedure to find GCD of 693, 668, 77, 199 on our page.
3. How to find GCD of 693, 668, 77, 199 on a calculator?
You can find the GCD of 693, 668, 77, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.