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 786, 368, 97, 893 i.e. 1 largest integer that divides all the numbers equally.
GCD of 786, 368, 97, 893 is 1
GCD(786, 368, 97, 893) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 786, 368, 97, 893 is 1
GCD(786, 368, 97, 893) = 1
Given Input numbers are 786, 368, 97, 893
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 786
List of positive integer divisors of 786 that divides 786 without a remainder.
1, 2, 3, 6, 131, 262, 393, 786
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
Divisors of 97
List of positive integer divisors of 97 that divides 97 without a remainder.
1, 97
Divisors of 893
List of positive integer divisors of 893 that divides 893 without a remainder.
1, 19, 47, 893
Greatest Common Divisior
We found the divisors of 786, 368, 97, 893 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 786, 368, 97, 893 is 1.
Therefore, GCD of numbers 786, 368, 97, 893 is 1
Given Input Data is 786, 368, 97, 893
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 786 is 2 x 3 x 131
Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23
Prime Factorization of 97 is 97
Prime Factorization of 893 is 19 x 47
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(786, 368) = 144624
GCD(786, 368) = ( 786 x 368 ) / 144624
GCD(786, 368) = 289248 / 144624
GCD(786, 368) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 97
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 97) = 194
GCD(2, 97) = ( 2 x 97 ) / 194
GCD(2, 97) = 194 / 194
GCD(2, 97) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 893
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 893) = 893
GCD(1, 893) = ( 1 x 893 ) / 893
GCD(1, 893) = 893 / 893
GCD(1, 893) = 1
GCD of 786, 368, 97, 893 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 786, 368, 97, 893?
GCD of 786, 368, 97, 893 is 1
2. Where do I get the detailed procedure to find GCD of 786, 368, 97, 893?
You can find a detailed procedure to find GCD of 786, 368, 97, 893 on our page.
3. How to find GCD of 786, 368, 97, 893 on a calculator?
You can find the GCD of 786, 368, 97, 893 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.