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 969, 609, 158, 275 i.e. 1 largest integer that divides all the numbers equally.
GCD of 969, 609, 158, 275 is 1
GCD(969, 609, 158, 275) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 969, 609, 158, 275 is 1
GCD(969, 609, 158, 275) = 1
Given Input numbers are 969, 609, 158, 275
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 969
List of positive integer divisors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 609
List of positive integer divisors of 609 that divides 609 without a remainder.
1, 3, 7, 21, 29, 87, 203, 609
Divisors of 158
List of positive integer divisors of 158 that divides 158 without a remainder.
1, 2, 79, 158
Divisors of 275
List of positive integer divisors of 275 that divides 275 without a remainder.
1, 5, 11, 25, 55, 275
Greatest Common Divisior
We found the divisors of 969, 609, 158, 275 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 609, 158, 275 is 1.
Therefore, GCD of numbers 969, 609, 158, 275 is 1
Given Input Data is 969, 609, 158, 275
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 969 is 3 x 17 x 19
Prime Factorization of 609 is 3 x 7 x 29
Prime Factorization of 158 is 2 x 79
Prime Factorization of 275 is 5 x 5 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(969, 609) = 196707
GCD(969, 609) = ( 969 x 609 ) / 196707
GCD(969, 609) = 590121 / 196707
GCD(969, 609) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 158
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 158) = 474
GCD(3, 158) = ( 3 x 158 ) / 474
GCD(3, 158) = 474 / 474
GCD(3, 158) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 275
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 275) = 275
GCD(1, 275) = ( 1 x 275 ) / 275
GCD(1, 275) = 275 / 275
GCD(1, 275) = 1
GCD of 969, 609, 158, 275 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 969, 609, 158, 275?
GCD of 969, 609, 158, 275 is 1
2. Where do I get the detailed procedure to find GCD of 969, 609, 158, 275?
You can find a detailed procedure to find GCD of 969, 609, 158, 275 on our page.
3. How to find GCD of 969, 609, 158, 275 on a calculator?
You can find the GCD of 969, 609, 158, 275 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.