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 544, 136, 89, 968 i.e. 1 largest integer that divides all the numbers equally.
GCD of 544, 136, 89, 968 is 1
GCD(544, 136, 89, 968) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 544, 136, 89, 968 is 1
GCD(544, 136, 89, 968) = 1
Given Input numbers are 544, 136, 89, 968
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 544
List of positive integer divisors of 544 that divides 544 without a remainder.
1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
Divisors of 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Divisors of 968
List of positive integer divisors of 968 that divides 968 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
Greatest Common Divisior
We found the divisors of 544, 136, 89, 968 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 544, 136, 89, 968 is 1.
Therefore, GCD of numbers 544, 136, 89, 968 is 1
Given Input Data is 544, 136, 89, 968
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17
Prime Factorization of 136 is 2 x 2 x 2 x 17
Prime Factorization of 89 is 89
Prime Factorization of 968 is 2 x 2 x 2 x 11 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(544, 136) = 544
GCD(544, 136) = ( 544 x 136 ) / 544
GCD(544, 136) = 73984 / 544
GCD(544, 136) = 136
Step2:
Here we consider the GCD from the above i.e. 136 as first number and the next as 89
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(136, 89) = 12104
GCD(136, 89) = ( 136 x 89 ) / 12104
GCD(136, 89) = 12104 / 12104
GCD(136, 89) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 968
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 968) = 968
GCD(1, 968) = ( 1 x 968 ) / 968
GCD(1, 968) = 968 / 968
GCD(1, 968) = 1
GCD of 544, 136, 89, 968 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 544, 136, 89, 968?
GCD of 544, 136, 89, 968 is 1
2. Where do I get the detailed procedure to find GCD of 544, 136, 89, 968?
You can find a detailed procedure to find GCD of 544, 136, 89, 968 on our page.
3. How to find GCD of 544, 136, 89, 968 on a calculator?
You can find the GCD of 544, 136, 89, 968 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.