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 712, 161, 889, 198 i.e. 1 largest integer that divides all the numbers equally.
GCD of 712, 161, 889, 198 is 1
GCD(712, 161, 889, 198) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 712, 161, 889, 198 is 1
GCD(712, 161, 889, 198) = 1
Given Input numbers are 712, 161, 889, 198
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 712
List of positive integer divisors of 712 that divides 712 without a remainder.
1, 2, 4, 8, 89, 178, 356, 712
Divisors of 161
List of positive integer divisors of 161 that divides 161 without a remainder.
1, 7, 23, 161
Divisors of 889
List of positive integer divisors of 889 that divides 889 without a remainder.
1, 7, 127, 889
Divisors of 198
List of positive integer divisors of 198 that divides 198 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Greatest Common Divisior
We found the divisors of 712, 161, 889, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 161, 889, 198 is 1.
Therefore, GCD of numbers 712, 161, 889, 198 is 1
Given Input Data is 712, 161, 889, 198
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 712 is 2 x 2 x 2 x 89
Prime Factorization of 161 is 7 x 23
Prime Factorization of 889 is 7 x 127
Prime Factorization of 198 is 2 x 3 x 3 x 11
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(712, 161) = 114632
GCD(712, 161) = ( 712 x 161 ) / 114632
GCD(712, 161) = 114632 / 114632
GCD(712, 161) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 889
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 889) = 889
GCD(1, 889) = ( 1 x 889 ) / 889
GCD(1, 889) = 889 / 889
GCD(1, 889) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 198
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 198) = 198
GCD(1, 198) = ( 1 x 198 ) / 198
GCD(1, 198) = 198 / 198
GCD(1, 198) = 1
GCD of 712, 161, 889, 198 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 712, 161, 889, 198?
GCD of 712, 161, 889, 198 is 1
2. Where do I get the detailed procedure to find GCD of 712, 161, 889, 198?
You can find a detailed procedure to find GCD of 712, 161, 889, 198 on our page.
3. How to find GCD of 712, 161, 889, 198 on a calculator?
You can find the GCD of 712, 161, 889, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.