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, 546, 257, 733 i.e. 1 largest integer that divides all the numbers equally.
GCD of 774, 546, 257, 733 is 1
GCD(774, 546, 257, 733) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 774, 546, 257, 733 is 1
GCD(774, 546, 257, 733) = 1
Given Input numbers are 774, 546, 257, 733
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 546
List of positive integer divisors of 546 that divides 546 without a remainder.
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
Divisors of 257
List of positive integer divisors of 257 that divides 257 without a remainder.
1, 257
Divisors of 733
List of positive integer divisors of 733 that divides 733 without a remainder.
1, 733
Greatest Common Divisior
We found the divisors of 774, 546, 257, 733 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 774, 546, 257, 733 is 1.
Therefore, GCD of numbers 774, 546, 257, 733 is 1
Given Input Data is 774, 546, 257, 733
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 546 is 2 x 3 x 7 x 13
Prime Factorization of 257 is 257
Prime Factorization of 733 is 733
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, 546) = 70434
GCD(774, 546) = ( 774 x 546 ) / 70434
GCD(774, 546) = 422604 / 70434
GCD(774, 546) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 257
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 257) = 1542
GCD(6, 257) = ( 6 x 257 ) / 1542
GCD(6, 257) = 1542 / 1542
GCD(6, 257) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 733
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 733) = 733
GCD(1, 733) = ( 1 x 733 ) / 733
GCD(1, 733) = 733 / 733
GCD(1, 733) = 1
GCD of 774, 546, 257, 733 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 774, 546, 257, 733?
GCD of 774, 546, 257, 733 is 1
2. Where do I get the detailed procedure to find GCD of 774, 546, 257, 733?
You can find a detailed procedure to find GCD of 774, 546, 257, 733 on our page.
3. How to find GCD of 774, 546, 257, 733 on a calculator?
You can find the GCD of 774, 546, 257, 733 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.