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 659, 135, 60, 947 i.e. 1 largest integer that divides all the numbers equally.
GCD of 659, 135, 60, 947 is 1
GCD(659, 135, 60, 947) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 659, 135, 60, 947 is 1
GCD(659, 135, 60, 947) = 1
Given Input numbers are 659, 135, 60, 947
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 659
List of positive integer divisors of 659 that divides 659 without a remainder.
1, 659
Divisors of 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 947
List of positive integer divisors of 947 that divides 947 without a remainder.
1, 947
Greatest Common Divisior
We found the divisors of 659, 135, 60, 947 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 659, 135, 60, 947 is 1.
Therefore, GCD of numbers 659, 135, 60, 947 is 1
Given Input Data is 659, 135, 60, 947
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 659 is 659
Prime Factorization of 135 is 3 x 3 x 3 x 5
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 947 is 947
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(659, 135) = 88965
GCD(659, 135) = ( 659 x 135 ) / 88965
GCD(659, 135) = 88965 / 88965
GCD(659, 135) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 60) = 60
GCD(1, 60) = ( 1 x 60 ) / 60
GCD(1, 60) = 60 / 60
GCD(1, 60) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 947
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 947) = 947
GCD(1, 947) = ( 1 x 947 ) / 947
GCD(1, 947) = 947 / 947
GCD(1, 947) = 1
GCD of 659, 135, 60, 947 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 659, 135, 60, 947?
GCD of 659, 135, 60, 947 is 1
2. Where do I get the detailed procedure to find GCD of 659, 135, 60, 947?
You can find a detailed procedure to find GCD of 659, 135, 60, 947 on our page.
3. How to find GCD of 659, 135, 60, 947 on a calculator?
You can find the GCD of 659, 135, 60, 947 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.