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 664, 944, 137, 319 i.e. 1 largest integer that divides all the numbers equally.
GCD of 664, 944, 137, 319 is 1
GCD(664, 944, 137, 319) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 664, 944, 137, 319 is 1
GCD(664, 944, 137, 319) = 1
Given Input numbers are 664, 944, 137, 319
To find the GCD of numbers using factoring list out all the divisors of each number
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 944
List of positive integer divisors of 944 that divides 944 without a remainder.
1, 2, 4, 8, 16, 59, 118, 236, 472, 944
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Divisors of 319
List of positive integer divisors of 319 that divides 319 without a remainder.
1, 11, 29, 319
Greatest Common Divisior
We found the divisors of 664, 944, 137, 319 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 664, 944, 137, 319 is 1.
Therefore, GCD of numbers 664, 944, 137, 319 is 1
Given Input Data is 664, 944, 137, 319
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 664 is 2 x 2 x 2 x 83
Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59
Prime Factorization of 137 is 137
Prime Factorization of 319 is 11 x 29
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(664, 944) = 78352
GCD(664, 944) = ( 664 x 944 ) / 78352
GCD(664, 944) = 626816 / 78352
GCD(664, 944) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 137
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 137) = 1096
GCD(8, 137) = ( 8 x 137 ) / 1096
GCD(8, 137) = 1096 / 1096
GCD(8, 137) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 319
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 319) = 319
GCD(1, 319) = ( 1 x 319 ) / 319
GCD(1, 319) = 319 / 319
GCD(1, 319) = 1
GCD of 664, 944, 137, 319 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 664, 944, 137, 319?
GCD of 664, 944, 137, 319 is 1
2. Where do I get the detailed procedure to find GCD of 664, 944, 137, 319?
You can find a detailed procedure to find GCD of 664, 944, 137, 319 on our page.
3. How to find GCD of 664, 944, 137, 319 on a calculator?
You can find the GCD of 664, 944, 137, 319 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.