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 156, 820, 84, 801 i.e. 1 largest integer that divides all the numbers equally.
GCD of 156, 820, 84, 801 is 1
GCD(156, 820, 84, 801) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 156, 820, 84, 801 is 1
GCD(156, 820, 84, 801) = 1
Given Input numbers are 156, 820, 84, 801
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 156
List of positive integer divisors of 156 that divides 156 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Divisors of 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
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 801
List of positive integer divisors of 801 that divides 801 without a remainder.
1, 3, 9, 89, 267, 801
Greatest Common Divisior
We found the divisors of 156, 820, 84, 801 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 156, 820, 84, 801 is 1.
Therefore, GCD of numbers 156, 820, 84, 801 is 1
Given Input Data is 156, 820, 84, 801
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 156 is 2 x 2 x 3 x 13
Prime Factorization of 820 is 2 x 2 x 5 x 41
Prime Factorization of 84 is 2 x 2 x 3 x 7
Prime Factorization of 801 is 3 x 3 x 89
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(156, 820) = 31980
GCD(156, 820) = ( 156 x 820 ) / 31980
GCD(156, 820) = 127920 / 31980
GCD(156, 820) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 84
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 84) = 84
GCD(4, 84) = ( 4 x 84 ) / 84
GCD(4, 84) = 336 / 84
GCD(4, 84) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 801
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 801) = 3204
GCD(4, 801) = ( 4 x 801 ) / 3204
GCD(4, 801) = 3204 / 3204
GCD(4, 801) = 1
GCD of 156, 820, 84, 801 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 156, 820, 84, 801?
GCD of 156, 820, 84, 801 is 1
2. Where do I get the detailed procedure to find GCD of 156, 820, 84, 801?
You can find a detailed procedure to find GCD of 156, 820, 84, 801 on our page.
3. How to find GCD of 156, 820, 84, 801 on a calculator?
You can find the GCD of 156, 820, 84, 801 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.