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, 236, 87, 135 i.e. 1 largest integer that divides all the numbers equally.
GCD of 664, 236, 87, 135 is 1
GCD(664, 236, 87, 135) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 664, 236, 87, 135 is 1
GCD(664, 236, 87, 135) = 1
Given Input numbers are 664, 236, 87, 135
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 236
List of positive integer divisors of 236 that divides 236 without a remainder.
1, 2, 4, 59, 118, 236
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Greatest Common Divisior
We found the divisors of 664, 236, 87, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 664, 236, 87, 135 is 1.
Therefore, GCD of numbers 664, 236, 87, 135 is 1
Given Input Data is 664, 236, 87, 135
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 236 is 2 x 2 x 59
Prime Factorization of 87 is 3 x 29
Prime Factorization of 135 is 3 x 3 x 3 x 5
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, 236) = 39176
GCD(664, 236) = ( 664 x 236 ) / 39176
GCD(664, 236) = 156704 / 39176
GCD(664, 236) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 87
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 87) = 348
GCD(4, 87) = ( 4 x 87 ) / 348
GCD(4, 87) = 348 / 348
GCD(4, 87) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 135
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 135) = 135
GCD(1, 135) = ( 1 x 135 ) / 135
GCD(1, 135) = 135 / 135
GCD(1, 135) = 1
GCD of 664, 236, 87, 135 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 664, 236, 87, 135?
GCD of 664, 236, 87, 135 is 1
2. Where do I get the detailed procedure to find GCD of 664, 236, 87, 135?
You can find a detailed procedure to find GCD of 664, 236, 87, 135 on our page.
3. How to find GCD of 664, 236, 87, 135 on a calculator?
You can find the GCD of 664, 236, 87, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.