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, 693, 440, 145 i.e. 1 largest integer that divides all the numbers equally.
GCD of 135, 693, 440, 145 is 1
GCD(135, 693, 440, 145) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 135, 693, 440, 145 is 1
GCD(135, 693, 440, 145) = 1
Given Input numbers are 135, 693, 440, 145
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 693
List of positive integer divisors of 693 that divides 693 without a remainder.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 440
List of positive integer divisors of 440 that divides 440 without a remainder.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Greatest Common Divisior
We found the divisors of 135, 693, 440, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 693, 440, 145 is 1.
Therefore, GCD of numbers 135, 693, 440, 145 is 1
Given Input Data is 135, 693, 440, 145
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 693 is 3 x 3 x 7 x 11
Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11
Prime Factorization of 145 is 5 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(135, 693) = 10395
GCD(135, 693) = ( 135 x 693 ) / 10395
GCD(135, 693) = 93555 / 10395
GCD(135, 693) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 440
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 440) = 3960
GCD(9, 440) = ( 9 x 440 ) / 3960
GCD(9, 440) = 3960 / 3960
GCD(9, 440) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 145
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 145) = 145
GCD(1, 145) = ( 1 x 145 ) / 145
GCD(1, 145) = 145 / 145
GCD(1, 145) = 1
GCD of 135, 693, 440, 145 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 135, 693, 440, 145?
GCD of 135, 693, 440, 145 is 1
2. Where do I get the detailed procedure to find GCD of 135, 693, 440, 145?
You can find a detailed procedure to find GCD of 135, 693, 440, 145 on our page.
3. How to find GCD of 135, 693, 440, 145 on a calculator?
You can find the GCD of 135, 693, 440, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.