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 11, 954, 546, 989 i.e. 1 largest integer that divides all the numbers equally.
GCD of 11, 954, 546, 989 is 1
GCD(11, 954, 546, 989) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 11, 954, 546, 989 is 1
GCD(11, 954, 546, 989) = 1
Given Input numbers are 11, 954, 546, 989
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
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 546
List of positive integer divisors of 546 that divides 546 without a remainder.
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
Divisors of 989
List of positive integer divisors of 989 that divides 989 without a remainder.
1, 23, 43, 989
Greatest Common Divisior
We found the divisors of 11, 954, 546, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 11, 954, 546, 989 is 1.
Therefore, GCD of numbers 11, 954, 546, 989 is 1
Given Input Data is 11, 954, 546, 989
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 11 is 11
Prime Factorization of 954 is 2 x 3 x 3 x 53
Prime Factorization of 546 is 2 x 3 x 7 x 13
Prime Factorization of 989 is 23 x 43
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(11, 954) = 10494
GCD(11, 954) = ( 11 x 954 ) / 10494
GCD(11, 954) = 10494 / 10494
GCD(11, 954) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 546
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 546) = 546
GCD(1, 546) = ( 1 x 546 ) / 546
GCD(1, 546) = 546 / 546
GCD(1, 546) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 989
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 989) = 989
GCD(1, 989) = ( 1 x 989 ) / 989
GCD(1, 989) = 989 / 989
GCD(1, 989) = 1
GCD of 11, 954, 546, 989 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 11, 954, 546, 989?
GCD of 11, 954, 546, 989 is 1
2. Where do I get the detailed procedure to find GCD of 11, 954, 546, 989?
You can find a detailed procedure to find GCD of 11, 954, 546, 989 on our page.
3. How to find GCD of 11, 954, 546, 989 on a calculator?
You can find the GCD of 11, 954, 546, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.