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 117, 445, 462, 695 i.e. 1 largest integer that divides all the numbers equally.
GCD of 117, 445, 462, 695 is 1
GCD(117, 445, 462, 695) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 117, 445, 462, 695 is 1
GCD(117, 445, 462, 695) = 1
Given Input numbers are 117, 445, 462, 695
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Divisors of 445
List of positive integer divisors of 445 that divides 445 without a remainder.
1, 5, 89, 445
Divisors of 462
List of positive integer divisors of 462 that divides 462 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 695
List of positive integer divisors of 695 that divides 695 without a remainder.
1, 5, 139, 695
Greatest Common Divisior
We found the divisors of 117, 445, 462, 695 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 445, 462, 695 is 1.
Therefore, GCD of numbers 117, 445, 462, 695 is 1
Given Input Data is 117, 445, 462, 695
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 117 is 3 x 3 x 13
Prime Factorization of 445 is 5 x 89
Prime Factorization of 462 is 2 x 3 x 7 x 11
Prime Factorization of 695 is 5 x 139
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(117, 445) = 52065
GCD(117, 445) = ( 117 x 445 ) / 52065
GCD(117, 445) = 52065 / 52065
GCD(117, 445) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 462
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 462) = 462
GCD(1, 462) = ( 1 x 462 ) / 462
GCD(1, 462) = 462 / 462
GCD(1, 462) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 695
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 695) = 695
GCD(1, 695) = ( 1 x 695 ) / 695
GCD(1, 695) = 695 / 695
GCD(1, 695) = 1
GCD of 117, 445, 462, 695 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 117, 445, 462, 695?
GCD of 117, 445, 462, 695 is 1
2. Where do I get the detailed procedure to find GCD of 117, 445, 462, 695?
You can find a detailed procedure to find GCD of 117, 445, 462, 695 on our page.
3. How to find GCD of 117, 445, 462, 695 on a calculator?
You can find the GCD of 117, 445, 462, 695 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.