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, 648, 875, 187 i.e. 1 largest integer that divides all the numbers equally.
GCD of 664, 648, 875, 187 is 1
GCD(664, 648, 875, 187) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 664, 648, 875, 187 is 1
GCD(664, 648, 875, 187) = 1
Given Input numbers are 664, 648, 875, 187
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 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 875
List of positive integer divisors of 875 that divides 875 without a remainder.
1, 5, 7, 25, 35, 125, 175, 875
Divisors of 187
List of positive integer divisors of 187 that divides 187 without a remainder.
1, 11, 17, 187
Greatest Common Divisior
We found the divisors of 664, 648, 875, 187 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 664, 648, 875, 187 is 1.
Therefore, GCD of numbers 664, 648, 875, 187 is 1
Given Input Data is 664, 648, 875, 187
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 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 875 is 5 x 5 x 5 x 7
Prime Factorization of 187 is 11 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(664, 648) = 53784
GCD(664, 648) = ( 664 x 648 ) / 53784
GCD(664, 648) = 430272 / 53784
GCD(664, 648) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 875
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 875) = 7000
GCD(8, 875) = ( 8 x 875 ) / 7000
GCD(8, 875) = 7000 / 7000
GCD(8, 875) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 187
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 187) = 187
GCD(1, 187) = ( 1 x 187 ) / 187
GCD(1, 187) = 187 / 187
GCD(1, 187) = 1
GCD of 664, 648, 875, 187 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 664, 648, 875, 187?
GCD of 664, 648, 875, 187 is 1
2. Where do I get the detailed procedure to find GCD of 664, 648, 875, 187?
You can find a detailed procedure to find GCD of 664, 648, 875, 187 on our page.
3. How to find GCD of 664, 648, 875, 187 on a calculator?
You can find the GCD of 664, 648, 875, 187 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.