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 975, 871, 67, 470 i.e. 1 largest integer that divides all the numbers equally.
GCD of 975, 871, 67, 470 is 1
GCD(975, 871, 67, 470) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 975, 871, 67, 470 is 1
GCD(975, 871, 67, 470) = 1
Given Input numbers are 975, 871, 67, 470
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 975
List of positive integer divisors of 975 that divides 975 without a remainder.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 871
List of positive integer divisors of 871 that divides 871 without a remainder.
1, 13, 67, 871
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 470
List of positive integer divisors of 470 that divides 470 without a remainder.
1, 2, 5, 10, 47, 94, 235, 470
Greatest Common Divisior
We found the divisors of 975, 871, 67, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 871, 67, 470 is 1.
Therefore, GCD of numbers 975, 871, 67, 470 is 1
Given Input Data is 975, 871, 67, 470
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 975 is 3 x 5 x 5 x 13
Prime Factorization of 871 is 13 x 67
Prime Factorization of 67 is 67
Prime Factorization of 470 is 2 x 5 x 47
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(975, 871) = 65325
GCD(975, 871) = ( 975 x 871 ) / 65325
GCD(975, 871) = 849225 / 65325
GCD(975, 871) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 67) = 871
GCD(13, 67) = ( 13 x 67 ) / 871
GCD(13, 67) = 871 / 871
GCD(13, 67) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 470
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 470) = 470
GCD(1, 470) = ( 1 x 470 ) / 470
GCD(1, 470) = 470 / 470
GCD(1, 470) = 1
GCD of 975, 871, 67, 470 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 975, 871, 67, 470?
GCD of 975, 871, 67, 470 is 1
2. Where do I get the detailed procedure to find GCD of 975, 871, 67, 470?
You can find a detailed procedure to find GCD of 975, 871, 67, 470 on our page.
3. How to find GCD of 975, 871, 67, 470 on a calculator?
You can find the GCD of 975, 871, 67, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.