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, 751, 314, 586 i.e. 1 largest integer that divides all the numbers equally.
GCD of 709, 751, 314, 586 is 1
GCD(709, 751, 314, 586) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 709, 751, 314, 586 is 1
GCD(709, 751, 314, 586) = 1
Given Input numbers are 709, 751, 314, 586
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 751
List of positive integer divisors of 751 that divides 751 without a remainder.
1, 751
Divisors of 314
List of positive integer divisors of 314 that divides 314 without a remainder.
1, 2, 157, 314
Divisors of 586
List of positive integer divisors of 586 that divides 586 without a remainder.
1, 2, 293, 586
Greatest Common Divisior
We found the divisors of 709, 751, 314, 586 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 709, 751, 314, 586 is 1.
Therefore, GCD of numbers 709, 751, 314, 586 is 1
Given Input Data is 709, 751, 314, 586
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 709 is 709
Prime Factorization of 751 is 751
Prime Factorization of 314 is 2 x 157
Prime Factorization of 586 is 2 x 293
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, 751) = 532459
GCD(709, 751) = ( 709 x 751 ) / 532459
GCD(709, 751) = 532459 / 532459
GCD(709, 751) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 314
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 314) = 314
GCD(1, 314) = ( 1 x 314 ) / 314
GCD(1, 314) = 314 / 314
GCD(1, 314) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 586
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 586) = 586
GCD(1, 586) = ( 1 x 586 ) / 586
GCD(1, 586) = 586 / 586
GCD(1, 586) = 1
GCD of 709, 751, 314, 586 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 709, 751, 314, 586?
GCD of 709, 751, 314, 586 is 1
2. Where do I get the detailed procedure to find GCD of 709, 751, 314, 586?
You can find a detailed procedure to find GCD of 709, 751, 314, 586 on our page.
3. How to find GCD of 709, 751, 314, 586 on a calculator?
You can find the GCD of 709, 751, 314, 586 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.