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 972, 309, 40, 874 i.e. 1 largest integer that divides all the numbers equally.
GCD of 972, 309, 40, 874 is 1
GCD(972, 309, 40, 874) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 972, 309, 40, 874 is 1
GCD(972, 309, 40, 874) = 1
Given Input numbers are 972, 309, 40, 874
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 309
List of positive integer divisors of 309 that divides 309 without a remainder.
1, 3, 103, 309
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 874
List of positive integer divisors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
Greatest Common Divisior
We found the divisors of 972, 309, 40, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 309, 40, 874 is 1.
Therefore, GCD of numbers 972, 309, 40, 874 is 1
Given Input Data is 972, 309, 40, 874
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 309 is 3 x 103
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 874 is 2 x 19 x 23
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(972, 309) = 100116
GCD(972, 309) = ( 972 x 309 ) / 100116
GCD(972, 309) = 300348 / 100116
GCD(972, 309) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 40) = 120
GCD(3, 40) = ( 3 x 40 ) / 120
GCD(3, 40) = 120 / 120
GCD(3, 40) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 874
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 874) = 874
GCD(1, 874) = ( 1 x 874 ) / 874
GCD(1, 874) = 874 / 874
GCD(1, 874) = 1
GCD of 972, 309, 40, 874 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 972, 309, 40, 874?
GCD of 972, 309, 40, 874 is 1
2. Where do I get the detailed procedure to find GCD of 972, 309, 40, 874?
You can find a detailed procedure to find GCD of 972, 309, 40, 874 on our page.
3. How to find GCD of 972, 309, 40, 874 on a calculator?
You can find the GCD of 972, 309, 40, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.