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 893, 274, 13, 701 i.e. 1 largest integer that divides all the numbers equally.
GCD of 893, 274, 13, 701 is 1
GCD(893, 274, 13, 701) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 893, 274, 13, 701 is 1
GCD(893, 274, 13, 701) = 1
Given Input numbers are 893, 274, 13, 701
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 893
List of positive integer divisors of 893 that divides 893 without a remainder.
1, 19, 47, 893
Divisors of 274
List of positive integer divisors of 274 that divides 274 without a remainder.
1, 2, 137, 274
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 701
List of positive integer divisors of 701 that divides 701 without a remainder.
1, 701
Greatest Common Divisior
We found the divisors of 893, 274, 13, 701 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 893, 274, 13, 701 is 1.
Therefore, GCD of numbers 893, 274, 13, 701 is 1
Given Input Data is 893, 274, 13, 701
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 893 is 19 x 47
Prime Factorization of 274 is 2 x 137
Prime Factorization of 13 is 13
Prime Factorization of 701 is 701
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(893, 274) = 244682
GCD(893, 274) = ( 893 x 274 ) / 244682
GCD(893, 274) = 244682 / 244682
GCD(893, 274) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 13) = 13
GCD(1, 13) = ( 1 x 13 ) / 13
GCD(1, 13) = 13 / 13
GCD(1, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 701
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 701) = 701
GCD(1, 701) = ( 1 x 701 ) / 701
GCD(1, 701) = 701 / 701
GCD(1, 701) = 1
GCD of 893, 274, 13, 701 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 893, 274, 13, 701?
GCD of 893, 274, 13, 701 is 1
2. Where do I get the detailed procedure to find GCD of 893, 274, 13, 701?
You can find a detailed procedure to find GCD of 893, 274, 13, 701 on our page.
3. How to find GCD of 893, 274, 13, 701 on a calculator?
You can find the GCD of 893, 274, 13, 701 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.