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 689, 720, 95, 910 i.e. 1 largest integer that divides all the numbers equally.
GCD of 689, 720, 95, 910 is 1
GCD(689, 720, 95, 910) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 689, 720, 95, 910 is 1
GCD(689, 720, 95, 910) = 1
Given Input numbers are 689, 720, 95, 910
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 689
List of positive integer divisors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Divisors of 720
List of positive integer divisors of 720 that divides 720 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 95
List of positive integer divisors of 95 that divides 95 without a remainder.
1, 5, 19, 95
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
Greatest Common Divisior
We found the divisors of 689, 720, 95, 910 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 720, 95, 910 is 1.
Therefore, GCD of numbers 689, 720, 95, 910 is 1
Given Input Data is 689, 720, 95, 910
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 689 is 13 x 53
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 95 is 5 x 19
Prime Factorization of 910 is 2 x 5 x 7 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(689, 720) = 496080
GCD(689, 720) = ( 689 x 720 ) / 496080
GCD(689, 720) = 496080 / 496080
GCD(689, 720) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 95
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 95) = 95
GCD(1, 95) = ( 1 x 95 ) / 95
GCD(1, 95) = 95 / 95
GCD(1, 95) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 910
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 910) = 910
GCD(1, 910) = ( 1 x 910 ) / 910
GCD(1, 910) = 910 / 910
GCD(1, 910) = 1
GCD of 689, 720, 95, 910 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 689, 720, 95, 910?
GCD of 689, 720, 95, 910 is 1
2. Where do I get the detailed procedure to find GCD of 689, 720, 95, 910?
You can find a detailed procedure to find GCD of 689, 720, 95, 910 on our page.
3. How to find GCD of 689, 720, 95, 910 on a calculator?
You can find the GCD of 689, 720, 95, 910 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.