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 73, 664, 837, 431 i.e. 1 largest integer that divides all the numbers equally.
GCD of 73, 664, 837, 431 is 1
GCD(73, 664, 837, 431) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 73, 664, 837, 431 is 1
GCD(73, 664, 837, 431) = 1
Given Input numbers are 73, 664, 837, 431
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 664
List of positive integer divisors of 664 that divides 664 without a remainder.
1, 2, 4, 8, 83, 166, 332, 664
Divisors of 837
List of positive integer divisors of 837 that divides 837 without a remainder.
1, 3, 9, 27, 31, 93, 279, 837
Divisors of 431
List of positive integer divisors of 431 that divides 431 without a remainder.
1, 431
Greatest Common Divisior
We found the divisors of 73, 664, 837, 431 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 73, 664, 837, 431 is 1.
Therefore, GCD of numbers 73, 664, 837, 431 is 1
Given Input Data is 73, 664, 837, 431
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 73 is 73
Prime Factorization of 664 is 2 x 2 x 2 x 83
Prime Factorization of 837 is 3 x 3 x 3 x 31
Prime Factorization of 431 is 431
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(73, 664) = 48472
GCD(73, 664) = ( 73 x 664 ) / 48472
GCD(73, 664) = 48472 / 48472
GCD(73, 664) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 837
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 837) = 837
GCD(1, 837) = ( 1 x 837 ) / 837
GCD(1, 837) = 837 / 837
GCD(1, 837) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 431
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 431) = 431
GCD(1, 431) = ( 1 x 431 ) / 431
GCD(1, 431) = 431 / 431
GCD(1, 431) = 1
GCD of 73, 664, 837, 431 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 73, 664, 837, 431?
GCD of 73, 664, 837, 431 is 1
2. Where do I get the detailed procedure to find GCD of 73, 664, 837, 431?
You can find a detailed procedure to find GCD of 73, 664, 837, 431 on our page.
3. How to find GCD of 73, 664, 837, 431 on a calculator?
You can find the GCD of 73, 664, 837, 431 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.