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, 885, 145, 864 i.e. 1 largest integer that divides all the numbers equally.
GCD of 70, 885, 145, 864 is 1
GCD(70, 885, 145, 864) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 70, 885, 145, 864 is 1
GCD(70, 885, 145, 864) = 1
Given Input numbers are 70, 885, 145, 864
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 885
List of positive integer divisors of 885 that divides 885 without a remainder.
1, 3, 5, 15, 59, 177, 295, 885
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
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
Greatest Common Divisior
We found the divisors of 70, 885, 145, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 885, 145, 864 is 1.
Therefore, GCD of numbers 70, 885, 145, 864 is 1
Given Input Data is 70, 885, 145, 864
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 885 is 3 x 5 x 59
Prime Factorization of 145 is 5 x 29
Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
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, 885) = 12390
GCD(70, 885) = ( 70 x 885 ) / 12390
GCD(70, 885) = 61950 / 12390
GCD(70, 885) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 145
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 145) = 145
GCD(5, 145) = ( 5 x 145 ) / 145
GCD(5, 145) = 725 / 145
GCD(5, 145) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 864
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 864) = 4320
GCD(5, 864) = ( 5 x 864 ) / 4320
GCD(5, 864) = 4320 / 4320
GCD(5, 864) = 1
GCD of 70, 885, 145, 864 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 70, 885, 145, 864?
GCD of 70, 885, 145, 864 is 1
2. Where do I get the detailed procedure to find GCD of 70, 885, 145, 864?
You can find a detailed procedure to find GCD of 70, 885, 145, 864 on our page.
3. How to find GCD of 70, 885, 145, 864 on a calculator?
You can find the GCD of 70, 885, 145, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.