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 682, 747, 758, 668 i.e. 1 largest integer that divides all the numbers equally.
GCD of 682, 747, 758, 668 is 1
GCD(682, 747, 758, 668) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 682, 747, 758, 668 is 1
GCD(682, 747, 758, 668) = 1
Given Input numbers are 682, 747, 758, 668
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 682
List of positive integer divisors of 682 that divides 682 without a remainder.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 747
List of positive integer divisors of 747 that divides 747 without a remainder.
1, 3, 9, 83, 249, 747
Divisors of 758
List of positive integer divisors of 758 that divides 758 without a remainder.
1, 2, 379, 758
Divisors of 668
List of positive integer divisors of 668 that divides 668 without a remainder.
1, 2, 4, 167, 334, 668
Greatest Common Divisior
We found the divisors of 682, 747, 758, 668 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 747, 758, 668 is 1.
Therefore, GCD of numbers 682, 747, 758, 668 is 1
Given Input Data is 682, 747, 758, 668
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 682 is 2 x 11 x 31
Prime Factorization of 747 is 3 x 3 x 83
Prime Factorization of 758 is 2 x 379
Prime Factorization of 668 is 2 x 2 x 167
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(682, 747) = 509454
GCD(682, 747) = ( 682 x 747 ) / 509454
GCD(682, 747) = 509454 / 509454
GCD(682, 747) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 758
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 758) = 758
GCD(1, 758) = ( 1 x 758 ) / 758
GCD(1, 758) = 758 / 758
GCD(1, 758) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 668
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 668) = 668
GCD(1, 668) = ( 1 x 668 ) / 668
GCD(1, 668) = 668 / 668
GCD(1, 668) = 1
GCD of 682, 747, 758, 668 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 682, 747, 758, 668?
GCD of 682, 747, 758, 668 is 1
2. Where do I get the detailed procedure to find GCD of 682, 747, 758, 668?
You can find a detailed procedure to find GCD of 682, 747, 758, 668 on our page.
3. How to find GCD of 682, 747, 758, 668 on a calculator?
You can find the GCD of 682, 747, 758, 668 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.