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 667, 994, 590, 693 i.e. 1 largest integer that divides all the numbers equally.
GCD of 667, 994, 590, 693 is 1
GCD(667, 994, 590, 693) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 667, 994, 590, 693 is 1
GCD(667, 994, 590, 693) = 1
Given Input numbers are 667, 994, 590, 693
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 667
List of positive integer divisors of 667 that divides 667 without a remainder.
1, 23, 29, 667
Divisors of 994
List of positive integer divisors of 994 that divides 994 without a remainder.
1, 2, 7, 14, 71, 142, 497, 994
Divisors of 590
List of positive integer divisors of 590 that divides 590 without a remainder.
1, 2, 5, 10, 59, 118, 295, 590
Divisors of 693
List of positive integer divisors of 693 that divides 693 without a remainder.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Greatest Common Divisior
We found the divisors of 667, 994, 590, 693 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 667, 994, 590, 693 is 1.
Therefore, GCD of numbers 667, 994, 590, 693 is 1
Given Input Data is 667, 994, 590, 693
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 667 is 23 x 29
Prime Factorization of 994 is 2 x 7 x 71
Prime Factorization of 590 is 2 x 5 x 59
Prime Factorization of 693 is 3 x 3 x 7 x 11
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(667, 994) = 662998
GCD(667, 994) = ( 667 x 994 ) / 662998
GCD(667, 994) = 662998 / 662998
GCD(667, 994) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 590
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 590) = 590
GCD(1, 590) = ( 1 x 590 ) / 590
GCD(1, 590) = 590 / 590
GCD(1, 590) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 693
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 693) = 693
GCD(1, 693) = ( 1 x 693 ) / 693
GCD(1, 693) = 693 / 693
GCD(1, 693) = 1
GCD of 667, 994, 590, 693 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 667, 994, 590, 693?
GCD of 667, 994, 590, 693 is 1
2. Where do I get the detailed procedure to find GCD of 667, 994, 590, 693?
You can find a detailed procedure to find GCD of 667, 994, 590, 693 on our page.
3. How to find GCD of 667, 994, 590, 693 on a calculator?
You can find the GCD of 667, 994, 590, 693 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.