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 397, 374, 554, 666 i.e. 1 largest integer that divides all the numbers equally.
GCD of 397, 374, 554, 666 is 1
GCD(397, 374, 554, 666) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 397, 374, 554, 666 is 1
GCD(397, 374, 554, 666) = 1
Given Input numbers are 397, 374, 554, 666
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 397
List of positive integer divisors of 397 that divides 397 without a remainder.
1, 397
Divisors of 374
List of positive integer divisors of 374 that divides 374 without a remainder.
1, 2, 11, 17, 22, 34, 187, 374
Divisors of 554
List of positive integer divisors of 554 that divides 554 without a remainder.
1, 2, 277, 554
Divisors of 666
List of positive integer divisors of 666 that divides 666 without a remainder.
1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
Greatest Common Divisior
We found the divisors of 397, 374, 554, 666 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 397, 374, 554, 666 is 1.
Therefore, GCD of numbers 397, 374, 554, 666 is 1
Given Input Data is 397, 374, 554, 666
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 397 is 397
Prime Factorization of 374 is 2 x 11 x 17
Prime Factorization of 554 is 2 x 277
Prime Factorization of 666 is 2 x 3 x 3 x 37
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(397, 374) = 148478
GCD(397, 374) = ( 397 x 374 ) / 148478
GCD(397, 374) = 148478 / 148478
GCD(397, 374) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 554
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 554) = 554
GCD(1, 554) = ( 1 x 554 ) / 554
GCD(1, 554) = 554 / 554
GCD(1, 554) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 666
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 666) = 666
GCD(1, 666) = ( 1 x 666 ) / 666
GCD(1, 666) = 666 / 666
GCD(1, 666) = 1
GCD of 397, 374, 554, 666 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 397, 374, 554, 666?
GCD of 397, 374, 554, 666 is 1
2. Where do I get the detailed procedure to find GCD of 397, 374, 554, 666?
You can find a detailed procedure to find GCD of 397, 374, 554, 666 on our page.
3. How to find GCD of 397, 374, 554, 666 on a calculator?
You can find the GCD of 397, 374, 554, 666 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.