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 54, 221, 804, 776 i.e. 1 largest integer that divides all the numbers equally.
GCD of 54, 221, 804, 776 is 1
GCD(54, 221, 804, 776) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 54, 221, 804, 776 is 1
GCD(54, 221, 804, 776) = 1
Given Input numbers are 54, 221, 804, 776
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 54
List of positive integer divisors of 54 that divides 54 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54
Divisors of 221
List of positive integer divisors of 221 that divides 221 without a remainder.
1, 13, 17, 221
Divisors of 804
List of positive integer divisors of 804 that divides 804 without a remainder.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Divisors of 776
List of positive integer divisors of 776 that divides 776 without a remainder.
1, 2, 4, 8, 97, 194, 388, 776
Greatest Common Divisior
We found the divisors of 54, 221, 804, 776 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 221, 804, 776 is 1.
Therefore, GCD of numbers 54, 221, 804, 776 is 1
Given Input Data is 54, 221, 804, 776
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 54 is 2 x 3 x 3 x 3
Prime Factorization of 221 is 13 x 17
Prime Factorization of 804 is 2 x 2 x 3 x 67
Prime Factorization of 776 is 2 x 2 x 2 x 97
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(54, 221) = 11934
GCD(54, 221) = ( 54 x 221 ) / 11934
GCD(54, 221) = 11934 / 11934
GCD(54, 221) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 804
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 804) = 804
GCD(1, 804) = ( 1 x 804 ) / 804
GCD(1, 804) = 804 / 804
GCD(1, 804) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 776
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 776) = 776
GCD(1, 776) = ( 1 x 776 ) / 776
GCD(1, 776) = 776 / 776
GCD(1, 776) = 1
GCD of 54, 221, 804, 776 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 54, 221, 804, 776?
GCD of 54, 221, 804, 776 is 1
2. Where do I get the detailed procedure to find GCD of 54, 221, 804, 776?
You can find a detailed procedure to find GCD of 54, 221, 804, 776 on our page.
3. How to find GCD of 54, 221, 804, 776 on a calculator?
You can find the GCD of 54, 221, 804, 776 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.