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 37, 671, 534, 408 i.e. 1 largest integer that divides all the numbers equally.
GCD of 37, 671, 534, 408 is 1
GCD(37, 671, 534, 408) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 37, 671, 534, 408 is 1
GCD(37, 671, 534, 408) = 1
Given Input numbers are 37, 671, 534, 408
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 37
List of positive integer divisors of 37 that divides 37 without a remainder.
1, 37
Divisors of 671
List of positive integer divisors of 671 that divides 671 without a remainder.
1, 11, 61, 671
Divisors of 534
List of positive integer divisors of 534 that divides 534 without a remainder.
1, 2, 3, 6, 89, 178, 267, 534
Divisors of 408
List of positive integer divisors of 408 that divides 408 without a remainder.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
Greatest Common Divisior
We found the divisors of 37, 671, 534, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 671, 534, 408 is 1.
Therefore, GCD of numbers 37, 671, 534, 408 is 1
Given Input Data is 37, 671, 534, 408
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 37 is 37
Prime Factorization of 671 is 11 x 61
Prime Factorization of 534 is 2 x 3 x 89
Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17
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(37, 671) = 24827
GCD(37, 671) = ( 37 x 671 ) / 24827
GCD(37, 671) = 24827 / 24827
GCD(37, 671) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 534
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 534) = 534
GCD(1, 534) = ( 1 x 534 ) / 534
GCD(1, 534) = 534 / 534
GCD(1, 534) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 408
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 408) = 408
GCD(1, 408) = ( 1 x 408 ) / 408
GCD(1, 408) = 408 / 408
GCD(1, 408) = 1
GCD of 37, 671, 534, 408 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 37, 671, 534, 408?
GCD of 37, 671, 534, 408 is 1
2. Where do I get the detailed procedure to find GCD of 37, 671, 534, 408?
You can find a detailed procedure to find GCD of 37, 671, 534, 408 on our page.
3. How to find GCD of 37, 671, 534, 408 on a calculator?
You can find the GCD of 37, 671, 534, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.