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 51, 386, 652, 709 i.e. 1 largest integer that divides all the numbers equally.
GCD of 51, 386, 652, 709 is 1
GCD(51, 386, 652, 709) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 51, 386, 652, 709 is 1
GCD(51, 386, 652, 709) = 1
Given Input numbers are 51, 386, 652, 709
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 386
List of positive integer divisors of 386 that divides 386 without a remainder.
1, 2, 193, 386
Divisors of 652
List of positive integer divisors of 652 that divides 652 without a remainder.
1, 2, 4, 163, 326, 652
Divisors of 709
List of positive integer divisors of 709 that divides 709 without a remainder.
1, 709
Greatest Common Divisior
We found the divisors of 51, 386, 652, 709 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 386, 652, 709 is 1.
Therefore, GCD of numbers 51, 386, 652, 709 is 1
Given Input Data is 51, 386, 652, 709
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 51 is 3 x 17
Prime Factorization of 386 is 2 x 193
Prime Factorization of 652 is 2 x 2 x 163
Prime Factorization of 709 is 709
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(51, 386) = 19686
GCD(51, 386) = ( 51 x 386 ) / 19686
GCD(51, 386) = 19686 / 19686
GCD(51, 386) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 652
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 652) = 652
GCD(1, 652) = ( 1 x 652 ) / 652
GCD(1, 652) = 652 / 652
GCD(1, 652) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 709
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 709) = 709
GCD(1, 709) = ( 1 x 709 ) / 709
GCD(1, 709) = 709 / 709
GCD(1, 709) = 1
GCD of 51, 386, 652, 709 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 51, 386, 652, 709?
GCD of 51, 386, 652, 709 is 1
2. Where do I get the detailed procedure to find GCD of 51, 386, 652, 709?
You can find a detailed procedure to find GCD of 51, 386, 652, 709 on our page.
3. How to find GCD of 51, 386, 652, 709 on a calculator?
You can find the GCD of 51, 386, 652, 709 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.