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 70, 117, 864, 481 i.e. 1 largest integer that divides all the numbers equally.
GCD of 70, 117, 864, 481 is 1
GCD(70, 117, 864, 481) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 70, 117, 864, 481 is 1
GCD(70, 117, 864, 481) = 1
Given Input numbers are 70, 117, 864, 481
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
Divisors of 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Divisors of 864
List of positive integer divisors of 864 that divides 864 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 481
List of positive integer divisors of 481 that divides 481 without a remainder.
1, 13, 37, 481
Greatest Common Divisior
We found the divisors of 70, 117, 864, 481 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 117, 864, 481 is 1.
Therefore, GCD of numbers 70, 117, 864, 481 is 1
Given Input Data is 70, 117, 864, 481
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 117 is 3 x 3 x 13
Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 481 is 13 x 37
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(70, 117) = 8190
GCD(70, 117) = ( 70 x 117 ) / 8190
GCD(70, 117) = 8190 / 8190
GCD(70, 117) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 864
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 864) = 864
GCD(1, 864) = ( 1 x 864 ) / 864
GCD(1, 864) = 864 / 864
GCD(1, 864) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 481
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 481) = 481
GCD(1, 481) = ( 1 x 481 ) / 481
GCD(1, 481) = 481 / 481
GCD(1, 481) = 1
GCD of 70, 117, 864, 481 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 70, 117, 864, 481?
GCD of 70, 117, 864, 481 is 1
2. Where do I get the detailed procedure to find GCD of 70, 117, 864, 481?
You can find a detailed procedure to find GCD of 70, 117, 864, 481 on our page.
3. How to find GCD of 70, 117, 864, 481 on a calculator?
You can find the GCD of 70, 117, 864, 481 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.