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 135, 665, 42, 560 i.e. 1 largest integer that divides all the numbers equally.
GCD of 135, 665, 42, 560 is 1
GCD(135, 665, 42, 560) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 135, 665, 42, 560 is 1
GCD(135, 665, 42, 560) = 1
Given Input numbers are 135, 665, 42, 560
To find the GCD of numbers using factoring list out all the divisors of each number
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 665
List of positive integer divisors of 665 that divides 665 without a remainder.
1, 5, 7, 19, 35, 95, 133, 665
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 560
List of positive integer divisors of 560 that divides 560 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Greatest Common Divisior
We found the divisors of 135, 665, 42, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 665, 42, 560 is 1.
Therefore, GCD of numbers 135, 665, 42, 560 is 1
Given Input Data is 135, 665, 42, 560
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 135 is 3 x 3 x 3 x 5
Prime Factorization of 665 is 5 x 7 x 19
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7
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(135, 665) = 17955
GCD(135, 665) = ( 135 x 665 ) / 17955
GCD(135, 665) = 89775 / 17955
GCD(135, 665) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 42) = 210
GCD(5, 42) = ( 5 x 42 ) / 210
GCD(5, 42) = 210 / 210
GCD(5, 42) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 560
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 560) = 560
GCD(1, 560) = ( 1 x 560 ) / 560
GCD(1, 560) = 560 / 560
GCD(1, 560) = 1
GCD of 135, 665, 42, 560 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 135, 665, 42, 560?
GCD of 135, 665, 42, 560 is 1
2. Where do I get the detailed procedure to find GCD of 135, 665, 42, 560?
You can find a detailed procedure to find GCD of 135, 665, 42, 560 on our page.
3. How to find GCD of 135, 665, 42, 560 on a calculator?
You can find the GCD of 135, 665, 42, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.