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 872, 692, 47, 645 i.e. 1 largest integer that divides all the numbers equally.
GCD of 872, 692, 47, 645 is 1
GCD(872, 692, 47, 645) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 872, 692, 47, 645 is 1
GCD(872, 692, 47, 645) = 1
Given Input numbers are 872, 692, 47, 645
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 872
List of positive integer divisors of 872 that divides 872 without a remainder.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 645
List of positive integer divisors of 645 that divides 645 without a remainder.
1, 3, 5, 15, 43, 129, 215, 645
Greatest Common Divisior
We found the divisors of 872, 692, 47, 645 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 872, 692, 47, 645 is 1.
Therefore, GCD of numbers 872, 692, 47, 645 is 1
Given Input Data is 872, 692, 47, 645
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 872 is 2 x 2 x 2 x 109
Prime Factorization of 692 is 2 x 2 x 173
Prime Factorization of 47 is 47
Prime Factorization of 645 is 3 x 5 x 43
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(872, 692) = 150856
GCD(872, 692) = ( 872 x 692 ) / 150856
GCD(872, 692) = 603424 / 150856
GCD(872, 692) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 47) = 188
GCD(4, 47) = ( 4 x 47 ) / 188
GCD(4, 47) = 188 / 188
GCD(4, 47) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 645
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 645) = 645
GCD(1, 645) = ( 1 x 645 ) / 645
GCD(1, 645) = 645 / 645
GCD(1, 645) = 1
GCD of 872, 692, 47, 645 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 872, 692, 47, 645?
GCD of 872, 692, 47, 645 is 1
2. Where do I get the detailed procedure to find GCD of 872, 692, 47, 645?
You can find a detailed procedure to find GCD of 872, 692, 47, 645 on our page.
3. How to find GCD of 872, 692, 47, 645 on a calculator?
You can find the GCD of 872, 692, 47, 645 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.