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 251, 706, 52, 802 i.e. 1 largest integer that divides all the numbers equally.
GCD of 251, 706, 52, 802 is 1
GCD(251, 706, 52, 802) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 251, 706, 52, 802 is 1
GCD(251, 706, 52, 802) = 1
Given Input numbers are 251, 706, 52, 802
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 251
List of positive integer divisors of 251 that divides 251 without a remainder.
1, 251
Divisors of 706
List of positive integer divisors of 706 that divides 706 without a remainder.
1, 2, 353, 706
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 802
List of positive integer divisors of 802 that divides 802 without a remainder.
1, 2, 401, 802
Greatest Common Divisior
We found the divisors of 251, 706, 52, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 251, 706, 52, 802 is 1.
Therefore, GCD of numbers 251, 706, 52, 802 is 1
Given Input Data is 251, 706, 52, 802
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 251 is 251
Prime Factorization of 706 is 2 x 353
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 802 is 2 x 401
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(251, 706) = 177206
GCD(251, 706) = ( 251 x 706 ) / 177206
GCD(251, 706) = 177206 / 177206
GCD(251, 706) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 52) = 52
GCD(1, 52) = ( 1 x 52 ) / 52
GCD(1, 52) = 52 / 52
GCD(1, 52) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 802
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 802) = 802
GCD(1, 802) = ( 1 x 802 ) / 802
GCD(1, 802) = 802 / 802
GCD(1, 802) = 1
GCD of 251, 706, 52, 802 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 251, 706, 52, 802?
GCD of 251, 706, 52, 802 is 1
2. Where do I get the detailed procedure to find GCD of 251, 706, 52, 802?
You can find a detailed procedure to find GCD of 251, 706, 52, 802 on our page.
3. How to find GCD of 251, 706, 52, 802 on a calculator?
You can find the GCD of 251, 706, 52, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.