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 161, 998, 69, 964 i.e. 1 largest integer that divides all the numbers equally.
GCD of 161, 998, 69, 964 is 1
GCD(161, 998, 69, 964) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 161, 998, 69, 964 is 1
GCD(161, 998, 69, 964) = 1
Given Input numbers are 161, 998, 69, 964
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 161
List of positive integer divisors of 161 that divides 161 without a remainder.
1, 7, 23, 161
Divisors of 998
List of positive integer divisors of 998 that divides 998 without a remainder.
1, 2, 499, 998
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 964
List of positive integer divisors of 964 that divides 964 without a remainder.
1, 2, 4, 241, 482, 964
Greatest Common Divisior
We found the divisors of 161, 998, 69, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 161, 998, 69, 964 is 1.
Therefore, GCD of numbers 161, 998, 69, 964 is 1
Given Input Data is 161, 998, 69, 964
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 161 is 7 x 23
Prime Factorization of 998 is 2 x 499
Prime Factorization of 69 is 3 x 23
Prime Factorization of 964 is 2 x 2 x 241
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(161, 998) = 160678
GCD(161, 998) = ( 161 x 998 ) / 160678
GCD(161, 998) = 160678 / 160678
GCD(161, 998) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 69) = 69
GCD(1, 69) = ( 1 x 69 ) / 69
GCD(1, 69) = 69 / 69
GCD(1, 69) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 964
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 964) = 964
GCD(1, 964) = ( 1 x 964 ) / 964
GCD(1, 964) = 964 / 964
GCD(1, 964) = 1
GCD of 161, 998, 69, 964 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 161, 998, 69, 964?
GCD of 161, 998, 69, 964 is 1
2. Where do I get the detailed procedure to find GCD of 161, 998, 69, 964?
You can find a detailed procedure to find GCD of 161, 998, 69, 964 on our page.
3. How to find GCD of 161, 998, 69, 964 on a calculator?
You can find the GCD of 161, 998, 69, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.