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 253, 578, 59, 851 i.e. 1 largest integer that divides all the numbers equally.
GCD of 253, 578, 59, 851 is 1
GCD(253, 578, 59, 851) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 253, 578, 59, 851 is 1
GCD(253, 578, 59, 851) = 1
Given Input numbers are 253, 578, 59, 851
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 253
List of positive integer divisors of 253 that divides 253 without a remainder.
1, 11, 23, 253
Divisors of 578
List of positive integer divisors of 578 that divides 578 without a remainder.
1, 2, 17, 34, 289, 578
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 851
List of positive integer divisors of 851 that divides 851 without a remainder.
1, 23, 37, 851
Greatest Common Divisior
We found the divisors of 253, 578, 59, 851 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 253, 578, 59, 851 is 1.
Therefore, GCD of numbers 253, 578, 59, 851 is 1
Given Input Data is 253, 578, 59, 851
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 253 is 11 x 23
Prime Factorization of 578 is 2 x 17 x 17
Prime Factorization of 59 is 59
Prime Factorization of 851 is 23 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(253, 578) = 146234
GCD(253, 578) = ( 253 x 578 ) / 146234
GCD(253, 578) = 146234 / 146234
GCD(253, 578) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 59
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 59) = 59
GCD(1, 59) = ( 1 x 59 ) / 59
GCD(1, 59) = 59 / 59
GCD(1, 59) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 851
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 851) = 851
GCD(1, 851) = ( 1 x 851 ) / 851
GCD(1, 851) = 851 / 851
GCD(1, 851) = 1
GCD of 253, 578, 59, 851 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 253, 578, 59, 851?
GCD of 253, 578, 59, 851 is 1
2. Where do I get the detailed procedure to find GCD of 253, 578, 59, 851?
You can find a detailed procedure to find GCD of 253, 578, 59, 851 on our page.
3. How to find GCD of 253, 578, 59, 851 on a calculator?
You can find the GCD of 253, 578, 59, 851 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.