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 706, 969, 424, 720 i.e. 1 largest integer that divides all the numbers equally.
GCD of 706, 969, 424, 720 is 1
GCD(706, 969, 424, 720) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 706, 969, 424, 720 is 1
GCD(706, 969, 424, 720) = 1
Given Input numbers are 706, 969, 424, 720
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 706
List of positive integer divisors of 706 that divides 706 without a remainder.
1, 2, 353, 706
Divisors of 969
List of positive integer divisors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 424
List of positive integer divisors of 424 that divides 424 without a remainder.
1, 2, 4, 8, 53, 106, 212, 424
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
Greatest Common Divisior
We found the divisors of 706, 969, 424, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 969, 424, 720 is 1.
Therefore, GCD of numbers 706, 969, 424, 720 is 1
Given Input Data is 706, 969, 424, 720
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 706 is 2 x 353
Prime Factorization of 969 is 3 x 17 x 19
Prime Factorization of 424 is 2 x 2 x 2 x 53
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 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(706, 969) = 684114
GCD(706, 969) = ( 706 x 969 ) / 684114
GCD(706, 969) = 684114 / 684114
GCD(706, 969) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 424
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 424) = 424
GCD(1, 424) = ( 1 x 424 ) / 424
GCD(1, 424) = 424 / 424
GCD(1, 424) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 720
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 720) = 720
GCD(1, 720) = ( 1 x 720 ) / 720
GCD(1, 720) = 720 / 720
GCD(1, 720) = 1
GCD of 706, 969, 424, 720 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 706, 969, 424, 720?
GCD of 706, 969, 424, 720 is 1
2. Where do I get the detailed procedure to find GCD of 706, 969, 424, 720?
You can find a detailed procedure to find GCD of 706, 969, 424, 720 on our page.
3. How to find GCD of 706, 969, 424, 720 on a calculator?
You can find the GCD of 706, 969, 424, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.