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 84, 981, 227, 435 i.e. 1 largest integer that divides all the numbers equally.
GCD of 84, 981, 227, 435 is 1
GCD(84, 981, 227, 435) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 84, 981, 227, 435 is 1
GCD(84, 981, 227, 435) = 1
Given Input numbers are 84, 981, 227, 435
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Divisors of 981
List of positive integer divisors of 981 that divides 981 without a remainder.
1, 3, 9, 109, 327, 981
Divisors of 227
List of positive integer divisors of 227 that divides 227 without a remainder.
1, 227
Divisors of 435
List of positive integer divisors of 435 that divides 435 without a remainder.
1, 3, 5, 15, 29, 87, 145, 435
Greatest Common Divisior
We found the divisors of 84, 981, 227, 435 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 981, 227, 435 is 1.
Therefore, GCD of numbers 84, 981, 227, 435 is 1
Given Input Data is 84, 981, 227, 435
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 84 is 2 x 2 x 3 x 7
Prime Factorization of 981 is 3 x 3 x 109
Prime Factorization of 227 is 227
Prime Factorization of 435 is 3 x 5 x 29
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(84, 981) = 27468
GCD(84, 981) = ( 84 x 981 ) / 27468
GCD(84, 981) = 82404 / 27468
GCD(84, 981) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 227
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 227) = 681
GCD(3, 227) = ( 3 x 227 ) / 681
GCD(3, 227) = 681 / 681
GCD(3, 227) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 435
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 435) = 435
GCD(1, 435) = ( 1 x 435 ) / 435
GCD(1, 435) = 435 / 435
GCD(1, 435) = 1
GCD of 84, 981, 227, 435 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 84, 981, 227, 435?
GCD of 84, 981, 227, 435 is 1
2. Where do I get the detailed procedure to find GCD of 84, 981, 227, 435?
You can find a detailed procedure to find GCD of 84, 981, 227, 435 on our page.
3. How to find GCD of 84, 981, 227, 435 on a calculator?
You can find the GCD of 84, 981, 227, 435 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.