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 960, 898, 85, 889 i.e. 1 largest integer that divides all the numbers equally.
GCD of 960, 898, 85, 889 is 1
GCD(960, 898, 85, 889) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 960, 898, 85, 889 is 1
GCD(960, 898, 85, 889) = 1
Given Input numbers are 960, 898, 85, 889
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 960
List of positive integer divisors of 960 that divides 960 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 898
List of positive integer divisors of 898 that divides 898 without a remainder.
1, 2, 449, 898
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 889
List of positive integer divisors of 889 that divides 889 without a remainder.
1, 7, 127, 889
Greatest Common Divisior
We found the divisors of 960, 898, 85, 889 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 898, 85, 889 is 1.
Therefore, GCD of numbers 960, 898, 85, 889 is 1
Given Input Data is 960, 898, 85, 889
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 898 is 2 x 449
Prime Factorization of 85 is 5 x 17
Prime Factorization of 889 is 7 x 127
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(960, 898) = 431040
GCD(960, 898) = ( 960 x 898 ) / 431040
GCD(960, 898) = 862080 / 431040
GCD(960, 898) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 85) = 170
GCD(2, 85) = ( 2 x 85 ) / 170
GCD(2, 85) = 170 / 170
GCD(2, 85) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 889
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 889) = 889
GCD(1, 889) = ( 1 x 889 ) / 889
GCD(1, 889) = 889 / 889
GCD(1, 889) = 1
GCD of 960, 898, 85, 889 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 960, 898, 85, 889?
GCD of 960, 898, 85, 889 is 1
2. Where do I get the detailed procedure to find GCD of 960, 898, 85, 889?
You can find a detailed procedure to find GCD of 960, 898, 85, 889 on our page.
3. How to find GCD of 960, 898, 85, 889 on a calculator?
You can find the GCD of 960, 898, 85, 889 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.