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, 118, 774, 572 i.e. 1 largest integer that divides all the numbers equally.
GCD of 89, 118, 774, 572 is 1
GCD(89, 118, 774, 572) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 89, 118, 774, 572 is 1
GCD(89, 118, 774, 572) = 1
Given Input numbers are 89, 118, 774, 572
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 118
List of positive integer divisors of 118 that divides 118 without a remainder.
1, 2, 59, 118
Divisors of 774
List of positive integer divisors of 774 that divides 774 without a remainder.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Divisors of 572
List of positive integer divisors of 572 that divides 572 without a remainder.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
Greatest Common Divisior
We found the divisors of 89, 118, 774, 572 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 89, 118, 774, 572 is 1.
Therefore, GCD of numbers 89, 118, 774, 572 is 1
Given Input Data is 89, 118, 774, 572
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 89 is 89
Prime Factorization of 118 is 2 x 59
Prime Factorization of 774 is 2 x 3 x 3 x 43
Prime Factorization of 572 is 2 x 2 x 11 x 13
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, 118) = 10502
GCD(89, 118) = ( 89 x 118 ) / 10502
GCD(89, 118) = 10502 / 10502
GCD(89, 118) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 774
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 774) = 774
GCD(1, 774) = ( 1 x 774 ) / 774
GCD(1, 774) = 774 / 774
GCD(1, 774) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 572
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 572) = 572
GCD(1, 572) = ( 1 x 572 ) / 572
GCD(1, 572) = 572 / 572
GCD(1, 572) = 1
GCD of 89, 118, 774, 572 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 89, 118, 774, 572?
GCD of 89, 118, 774, 572 is 1
2. Where do I get the detailed procedure to find GCD of 89, 118, 774, 572?
You can find a detailed procedure to find GCD of 89, 118, 774, 572 on our page.
3. How to find GCD of 89, 118, 774, 572 on a calculator?
You can find the GCD of 89, 118, 774, 572 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.