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 774, 526, 23, 378 i.e. 1 largest integer that divides all the numbers equally.
GCD of 774, 526, 23, 378 is 1
GCD(774, 526, 23, 378) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 774, 526, 23, 378 is 1
GCD(774, 526, 23, 378) = 1
Given Input numbers are 774, 526, 23, 378
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 774
List of positive integer divisors of 774 that divides 774 without a remainder.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Divisors of 526
List of positive integer divisors of 526 that divides 526 without a remainder.
1, 2, 263, 526
Divisors of 23
List of positive integer divisors of 23 that divides 23 without a remainder.
1, 23
Divisors of 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Greatest Common Divisior
We found the divisors of 774, 526, 23, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 774, 526, 23, 378 is 1.
Therefore, GCD of numbers 774, 526, 23, 378 is 1
Given Input Data is 774, 526, 23, 378
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 774 is 2 x 3 x 3 x 43
Prime Factorization of 526 is 2 x 263
Prime Factorization of 23 is 23
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
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(774, 526) = 203562
GCD(774, 526) = ( 774 x 526 ) / 203562
GCD(774, 526) = 407124 / 203562
GCD(774, 526) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 23
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 23) = 46
GCD(2, 23) = ( 2 x 23 ) / 46
GCD(2, 23) = 46 / 46
GCD(2, 23) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 378
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 378) = 378
GCD(1, 378) = ( 1 x 378 ) / 378
GCD(1, 378) = 378 / 378
GCD(1, 378) = 1
GCD of 774, 526, 23, 378 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 774, 526, 23, 378?
GCD of 774, 526, 23, 378 is 1
2. Where do I get the detailed procedure to find GCD of 774, 526, 23, 378?
You can find a detailed procedure to find GCD of 774, 526, 23, 378 on our page.
3. How to find GCD of 774, 526, 23, 378 on a calculator?
You can find the GCD of 774, 526, 23, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.