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 89, 954, 959, 279 i.e. 1 largest integer that divides all the numbers equally.
GCD of 89, 954, 959, 279 is 1
GCD(89, 954, 959, 279) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 89, 954, 959, 279 is 1
GCD(89, 954, 959, 279) = 1
Given Input numbers are 89, 954, 959, 279
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Divisors of 954
List of positive integer divisors of 954 that divides 954 without a remainder.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
Divisors of 959
List of positive integer divisors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Divisors of 279
List of positive integer divisors of 279 that divides 279 without a remainder.
1, 3, 9, 31, 93, 279
Greatest Common Divisior
We found the divisors of 89, 954, 959, 279 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 89, 954, 959, 279 is 1.
Therefore, GCD of numbers 89, 954, 959, 279 is 1
Given Input Data is 89, 954, 959, 279
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 89 is 89
Prime Factorization of 954 is 2 x 3 x 3 x 53
Prime Factorization of 959 is 7 x 137
Prime Factorization of 279 is 3 x 3 x 31
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(89, 954) = 84906
GCD(89, 954) = ( 89 x 954 ) / 84906
GCD(89, 954) = 84906 / 84906
GCD(89, 954) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 959
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 959) = 959
GCD(1, 959) = ( 1 x 959 ) / 959
GCD(1, 959) = 959 / 959
GCD(1, 959) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 279
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 279) = 279
GCD(1, 279) = ( 1 x 279 ) / 279
GCD(1, 279) = 279 / 279
GCD(1, 279) = 1
GCD of 89, 954, 959, 279 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 89, 954, 959, 279?
GCD of 89, 954, 959, 279 is 1
2. Where do I get the detailed procedure to find GCD of 89, 954, 959, 279?
You can find a detailed procedure to find GCD of 89, 954, 959, 279 on our page.
3. How to find GCD of 89, 954, 959, 279 on a calculator?
You can find the GCD of 89, 954, 959, 279 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.