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 284, 802, 261, 629 i.e. 1 largest integer that divides all the numbers equally.
GCD of 284, 802, 261, 629 is 1
GCD(284, 802, 261, 629) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 284, 802, 261, 629 is 1
GCD(284, 802, 261, 629) = 1
Given Input numbers are 284, 802, 261, 629
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 284
List of positive integer divisors of 284 that divides 284 without a remainder.
1, 2, 4, 71, 142, 284
Divisors of 802
List of positive integer divisors of 802 that divides 802 without a remainder.
1, 2, 401, 802
Divisors of 261
List of positive integer divisors of 261 that divides 261 without a remainder.
1, 3, 9, 29, 87, 261
Divisors of 629
List of positive integer divisors of 629 that divides 629 without a remainder.
1, 17, 37, 629
Greatest Common Divisior
We found the divisors of 284, 802, 261, 629 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 284, 802, 261, 629 is 1.
Therefore, GCD of numbers 284, 802, 261, 629 is 1
Given Input Data is 284, 802, 261, 629
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 284 is 2 x 2 x 71
Prime Factorization of 802 is 2 x 401
Prime Factorization of 261 is 3 x 3 x 29
Prime Factorization of 629 is 17 x 37
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(284, 802) = 113884
GCD(284, 802) = ( 284 x 802 ) / 113884
GCD(284, 802) = 227768 / 113884
GCD(284, 802) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 261
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 261) = 522
GCD(2, 261) = ( 2 x 261 ) / 522
GCD(2, 261) = 522 / 522
GCD(2, 261) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 629
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 629) = 629
GCD(1, 629) = ( 1 x 629 ) / 629
GCD(1, 629) = 629 / 629
GCD(1, 629) = 1
GCD of 284, 802, 261, 629 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 284, 802, 261, 629?
GCD of 284, 802, 261, 629 is 1
2. Where do I get the detailed procedure to find GCD of 284, 802, 261, 629?
You can find a detailed procedure to find GCD of 284, 802, 261, 629 on our page.
3. How to find GCD of 284, 802, 261, 629 on a calculator?
You can find the GCD of 284, 802, 261, 629 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.