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 709, 460, 77, 646 i.e. 1 largest integer that divides all the numbers equally.
GCD of 709, 460, 77, 646 is 1
GCD(709, 460, 77, 646) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 709, 460, 77, 646 is 1
GCD(709, 460, 77, 646) = 1
Given Input numbers are 709, 460, 77, 646
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 709
List of positive integer divisors of 709 that divides 709 without a remainder.
1, 709
Divisors of 460
List of positive integer divisors of 460 that divides 460 without a remainder.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 646
List of positive integer divisors of 646 that divides 646 without a remainder.
1, 2, 17, 19, 34, 38, 323, 646
Greatest Common Divisior
We found the divisors of 709, 460, 77, 646 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 709, 460, 77, 646 is 1.
Therefore, GCD of numbers 709, 460, 77, 646 is 1
Given Input Data is 709, 460, 77, 646
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 709 is 709
Prime Factorization of 460 is 2 x 2 x 5 x 23
Prime Factorization of 77 is 7 x 11
Prime Factorization of 646 is 2 x 17 x 19
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(709, 460) = 326140
GCD(709, 460) = ( 709 x 460 ) / 326140
GCD(709, 460) = 326140 / 326140
GCD(709, 460) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 77) = 77
GCD(1, 77) = ( 1 x 77 ) / 77
GCD(1, 77) = 77 / 77
GCD(1, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 646
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 646) = 646
GCD(1, 646) = ( 1 x 646 ) / 646
GCD(1, 646) = 646 / 646
GCD(1, 646) = 1
GCD of 709, 460, 77, 646 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 709, 460, 77, 646?
GCD of 709, 460, 77, 646 is 1
2. Where do I get the detailed procedure to find GCD of 709, 460, 77, 646?
You can find a detailed procedure to find GCD of 709, 460, 77, 646 on our page.
3. How to find GCD of 709, 460, 77, 646 on a calculator?
You can find the GCD of 709, 460, 77, 646 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.