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 889, 524, 289, 480 i.e. 1 largest integer that divides all the numbers equally.
GCD of 889, 524, 289, 480 is 1
GCD(889, 524, 289, 480) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 889, 524, 289, 480 is 1
GCD(889, 524, 289, 480) = 1
Given Input numbers are 889, 524, 289, 480
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 889
List of positive integer divisors of 889 that divides 889 without a remainder.
1, 7, 127, 889
Divisors of 524
List of positive integer divisors of 524 that divides 524 without a remainder.
1, 2, 4, 131, 262, 524
Divisors of 289
List of positive integer divisors of 289 that divides 289 without a remainder.
1, 17, 289
Divisors of 480
List of positive integer divisors of 480 that divides 480 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Greatest Common Divisior
We found the divisors of 889, 524, 289, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 889, 524, 289, 480 is 1.
Therefore, GCD of numbers 889, 524, 289, 480 is 1
Given Input Data is 889, 524, 289, 480
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 889 is 7 x 127
Prime Factorization of 524 is 2 x 2 x 131
Prime Factorization of 289 is 17 x 17
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
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(889, 524) = 465836
GCD(889, 524) = ( 889 x 524 ) / 465836
GCD(889, 524) = 465836 / 465836
GCD(889, 524) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 289
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 289) = 289
GCD(1, 289) = ( 1 x 289 ) / 289
GCD(1, 289) = 289 / 289
GCD(1, 289) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 480
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 480) = 480
GCD(1, 480) = ( 1 x 480 ) / 480
GCD(1, 480) = 480 / 480
GCD(1, 480) = 1
GCD of 889, 524, 289, 480 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 889, 524, 289, 480?
GCD of 889, 524, 289, 480 is 1
2. Where do I get the detailed procedure to find GCD of 889, 524, 289, 480?
You can find a detailed procedure to find GCD of 889, 524, 289, 480 on our page.
3. How to find GCD of 889, 524, 289, 480 on a calculator?
You can find the GCD of 889, 524, 289, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.