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 76, 391, 586, 702 i.e. 1 largest integer that divides all the numbers equally.
GCD of 76, 391, 586, 702 is 1
GCD(76, 391, 586, 702) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 76, 391, 586, 702 is 1
GCD(76, 391, 586, 702) = 1
Given Input numbers are 76, 391, 586, 702
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 391
List of positive integer divisors of 391 that divides 391 without a remainder.
1, 17, 23, 391
Divisors of 586
List of positive integer divisors of 586 that divides 586 without a remainder.
1, 2, 293, 586
Divisors of 702
List of positive integer divisors of 702 that divides 702 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Greatest Common Divisior
We found the divisors of 76, 391, 586, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 391, 586, 702 is 1.
Therefore, GCD of numbers 76, 391, 586, 702 is 1
Given Input Data is 76, 391, 586, 702
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 391 is 17 x 23
Prime Factorization of 586 is 2 x 293
Prime Factorization of 702 is 2 x 3 x 3 x 3 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(76, 391) = 29716
GCD(76, 391) = ( 76 x 391 ) / 29716
GCD(76, 391) = 29716 / 29716
GCD(76, 391) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 702
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 702) = 702
GCD(1, 702) = ( 1 x 702 ) / 702
GCD(1, 702) = 702 / 702
GCD(1, 702) = 1
GCD of 76, 391, 586, 702 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 76, 391, 586, 702?
GCD of 76, 391, 586, 702 is 1
2. Where do I get the detailed procedure to find GCD of 76, 391, 586, 702?
You can find a detailed procedure to find GCD of 76, 391, 586, 702 on our page.
3. How to find GCD of 76, 391, 586, 702 on a calculator?
You can find the GCD of 76, 391, 586, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.