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 421, 648, 397, 745 i.e. 1 largest integer that divides all the numbers equally.
GCD of 421, 648, 397, 745 is 1
GCD(421, 648, 397, 745) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 421, 648, 397, 745 is 1
GCD(421, 648, 397, 745) = 1
Given Input numbers are 421, 648, 397, 745
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 421
List of positive integer divisors of 421 that divides 421 without a remainder.
1, 421
Divisors of 648
List of positive integer divisors of 648 that divides 648 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 397
List of positive integer divisors of 397 that divides 397 without a remainder.
1, 397
Divisors of 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Greatest Common Divisior
We found the divisors of 421, 648, 397, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 421, 648, 397, 745 is 1.
Therefore, GCD of numbers 421, 648, 397, 745 is 1
Given Input Data is 421, 648, 397, 745
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 421 is 421
Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 397 is 397
Prime Factorization of 745 is 5 x 149
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(421, 648) = 272808
GCD(421, 648) = ( 421 x 648 ) / 272808
GCD(421, 648) = 272808 / 272808
GCD(421, 648) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 397
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 397) = 397
GCD(1, 397) = ( 1 x 397 ) / 397
GCD(1, 397) = 397 / 397
GCD(1, 397) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 745
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 745) = 745
GCD(1, 745) = ( 1 x 745 ) / 745
GCD(1, 745) = 745 / 745
GCD(1, 745) = 1
GCD of 421, 648, 397, 745 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 421, 648, 397, 745?
GCD of 421, 648, 397, 745 is 1
2. Where do I get the detailed procedure to find GCD of 421, 648, 397, 745?
You can find a detailed procedure to find GCD of 421, 648, 397, 745 on our page.
3. How to find GCD of 421, 648, 397, 745 on a calculator?
You can find the GCD of 421, 648, 397, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.