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, 148, 51, 368 i.e. 1 largest integer that divides all the numbers equally.
GCD of 893, 148, 51, 368 is 1
GCD(893, 148, 51, 368) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 893, 148, 51, 368 is 1
GCD(893, 148, 51, 368) = 1
Given Input numbers are 893, 148, 51, 368
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 148
List of positive integer divisors of 148 that divides 148 without a remainder.
1, 2, 4, 37, 74, 148
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 368
List of positive integer divisors of 368 that divides 368 without a remainder.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Greatest Common Divisior
We found the divisors of 893, 148, 51, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 893, 148, 51, 368 is 1.
Therefore, GCD of numbers 893, 148, 51, 368 is 1
Given Input Data is 893, 148, 51, 368
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 893 is 19 x 47
Prime Factorization of 148 is 2 x 2 x 37
Prime Factorization of 51 is 3 x 17
Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23
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, 148) = 132164
GCD(893, 148) = ( 893 x 148 ) / 132164
GCD(893, 148) = 132164 / 132164
GCD(893, 148) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 51) = 51
GCD(1, 51) = ( 1 x 51 ) / 51
GCD(1, 51) = 51 / 51
GCD(1, 51) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 368
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 368) = 368
GCD(1, 368) = ( 1 x 368 ) / 368
GCD(1, 368) = 368 / 368
GCD(1, 368) = 1
GCD of 893, 148, 51, 368 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 893, 148, 51, 368?
GCD of 893, 148, 51, 368 is 1
2. Where do I get the detailed procedure to find GCD of 893, 148, 51, 368?
You can find a detailed procedure to find GCD of 893, 148, 51, 368 on our page.
3. How to find GCD of 893, 148, 51, 368 on a calculator?
You can find the GCD of 893, 148, 51, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.