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 875, 966, 70, 216 i.e. 1 largest integer that divides all the numbers equally.
GCD of 875, 966, 70, 216 is 1
GCD(875, 966, 70, 216) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 875, 966, 70, 216 is 1
GCD(875, 966, 70, 216) = 1
Given Input numbers are 875, 966, 70, 216
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 875
List of positive integer divisors of 875 that divides 875 without a remainder.
1, 5, 7, 25, 35, 125, 175, 875
Divisors of 966
List of positive integer divisors of 966 that divides 966 without a remainder.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
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 216
List of positive integer divisors of 216 that divides 216 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Greatest Common Divisior
We found the divisors of 875, 966, 70, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 875, 966, 70, 216 is 1.
Therefore, GCD of numbers 875, 966, 70, 216 is 1
Given Input Data is 875, 966, 70, 216
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 875 is 5 x 5 x 5 x 7
Prime Factorization of 966 is 2 x 3 x 7 x 23
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 216 is 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(875, 966) = 120750
GCD(875, 966) = ( 875 x 966 ) / 120750
GCD(875, 966) = 845250 / 120750
GCD(875, 966) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 70
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 70) = 70
GCD(7, 70) = ( 7 x 70 ) / 70
GCD(7, 70) = 490 / 70
GCD(7, 70) = 7
Step3:
Here we consider the GCD from the above i.e. 7 as first number and the next as 216
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 216) = 1512
GCD(7, 216) = ( 7 x 216 ) / 1512
GCD(7, 216) = 1512 / 1512
GCD(7, 216) = 1
GCD of 875, 966, 70, 216 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 875, 966, 70, 216?
GCD of 875, 966, 70, 216 is 1
2. Where do I get the detailed procedure to find GCD of 875, 966, 70, 216?
You can find a detailed procedure to find GCD of 875, 966, 70, 216 on our page.
3. How to find GCD of 875, 966, 70, 216 on a calculator?
You can find the GCD of 875, 966, 70, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.