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, 910, 495, 701 i.e. 1 largest integer that divides all the numbers equally.
GCD of 89, 910, 495, 701 is 1
GCD(89, 910, 495, 701) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 89, 910, 495, 701 is 1
GCD(89, 910, 495, 701) = 1
Given Input numbers are 89, 910, 495, 701
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 910
List of positive integer divisors of 910 that divides 910 without a remainder.
1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
Divisors of 495
List of positive integer divisors of 495 that divides 495 without a remainder.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Divisors of 701
List of positive integer divisors of 701 that divides 701 without a remainder.
1, 701
Greatest Common Divisior
We found the divisors of 89, 910, 495, 701 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 89, 910, 495, 701 is 1.
Therefore, GCD of numbers 89, 910, 495, 701 is 1
Given Input Data is 89, 910, 495, 701
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 89 is 89
Prime Factorization of 910 is 2 x 5 x 7 x 13
Prime Factorization of 495 is 3 x 3 x 5 x 11
Prime Factorization of 701 is 701
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, 910) = 80990
GCD(89, 910) = ( 89 x 910 ) / 80990
GCD(89, 910) = 80990 / 80990
GCD(89, 910) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 495
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 495) = 495
GCD(1, 495) = ( 1 x 495 ) / 495
GCD(1, 495) = 495 / 495
GCD(1, 495) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 701
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 701) = 701
GCD(1, 701) = ( 1 x 701 ) / 701
GCD(1, 701) = 701 / 701
GCD(1, 701) = 1
GCD of 89, 910, 495, 701 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 89, 910, 495, 701?
GCD of 89, 910, 495, 701 is 1
2. Where do I get the detailed procedure to find GCD of 89, 910, 495, 701?
You can find a detailed procedure to find GCD of 89, 910, 495, 701 on our page.
3. How to find GCD of 89, 910, 495, 701 on a calculator?
You can find the GCD of 89, 910, 495, 701 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.