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 873, 690, 104, 972 i.e. 1 largest integer that divides all the numbers equally.
GCD of 873, 690, 104, 972 is 1
GCD(873, 690, 104, 972) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 873, 690, 104, 972 is 1
GCD(873, 690, 104, 972) = 1
Given Input numbers are 873, 690, 104, 972
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 873
List of positive integer divisors of 873 that divides 873 without a remainder.
1, 3, 9, 97, 291, 873
Divisors of 690
List of positive integer divisors of 690 that divides 690 without a remainder.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 972
List of positive integer divisors of 972 that divides 972 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Greatest Common Divisior
We found the divisors of 873, 690, 104, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 873, 690, 104, 972 is 1.
Therefore, GCD of numbers 873, 690, 104, 972 is 1
Given Input Data is 873, 690, 104, 972
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 873 is 3 x 3 x 97
Prime Factorization of 690 is 2 x 3 x 5 x 23
Prime Factorization of 104 is 2 x 2 x 2 x 13
Prime Factorization of 972 is 2 x 2 x 3 x 3 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(873, 690) = 200790
GCD(873, 690) = ( 873 x 690 ) / 200790
GCD(873, 690) = 602370 / 200790
GCD(873, 690) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 104
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 104) = 312
GCD(3, 104) = ( 3 x 104 ) / 312
GCD(3, 104) = 312 / 312
GCD(3, 104) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 972
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
GCD(1, 972) = 972 / 972
GCD(1, 972) = 1
GCD of 873, 690, 104, 972 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 873, 690, 104, 972?
GCD of 873, 690, 104, 972 is 1
2. Where do I get the detailed procedure to find GCD of 873, 690, 104, 972?
You can find a detailed procedure to find GCD of 873, 690, 104, 972 on our page.
3. How to find GCD of 873, 690, 104, 972 on a calculator?
You can find the GCD of 873, 690, 104, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.