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 821, 714, 234, 972 i.e. 1 largest integer that divides all the numbers equally.
GCD of 821, 714, 234, 972 is 1
GCD(821, 714, 234, 972) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 821, 714, 234, 972 is 1
GCD(821, 714, 234, 972) = 1
Given Input numbers are 821, 714, 234, 972
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 821
List of positive integer divisors of 821 that divides 821 without a remainder.
1, 821
Divisors of 714
List of positive integer divisors of 714 that divides 714 without a remainder.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 234
List of positive integer divisors of 234 that divides 234 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
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 821, 714, 234, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 714, 234, 972 is 1.
Therefore, GCD of numbers 821, 714, 234, 972 is 1
Given Input Data is 821, 714, 234, 972
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 821 is 821
Prime Factorization of 714 is 2 x 3 x 7 x 17
Prime Factorization of 234 is 2 x 3 x 3 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(821, 714) = 586194
GCD(821, 714) = ( 821 x 714 ) / 586194
GCD(821, 714) = 586194 / 586194
GCD(821, 714) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 234
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 234) = 234
GCD(1, 234) = ( 1 x 234 ) / 234
GCD(1, 234) = 234 / 234
GCD(1, 234) = 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 821, 714, 234, 972 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 821, 714, 234, 972?
GCD of 821, 714, 234, 972 is 1
2. Where do I get the detailed procedure to find GCD of 821, 714, 234, 972?
You can find a detailed procedure to find GCD of 821, 714, 234, 972 on our page.
3. How to find GCD of 821, 714, 234, 972 on a calculator?
You can find the GCD of 821, 714, 234, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.