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 67, 405, 738, 277 i.e. 1 largest integer that divides all the numbers equally.
GCD of 67, 405, 738, 277 is 1
GCD(67, 405, 738, 277) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 67, 405, 738, 277 is 1
GCD(67, 405, 738, 277) = 1
Given Input numbers are 67, 405, 738, 277
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 405
List of positive integer divisors of 405 that divides 405 without a remainder.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
Divisors of 738
List of positive integer divisors of 738 that divides 738 without a remainder.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 277
List of positive integer divisors of 277 that divides 277 without a remainder.
1, 277
Greatest Common Divisior
We found the divisors of 67, 405, 738, 277 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 67, 405, 738, 277 is 1.
Therefore, GCD of numbers 67, 405, 738, 277 is 1
Given Input Data is 67, 405, 738, 277
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 67 is 67
Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5
Prime Factorization of 738 is 2 x 3 x 3 x 41
Prime Factorization of 277 is 277
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(67, 405) = 27135
GCD(67, 405) = ( 67 x 405 ) / 27135
GCD(67, 405) = 27135 / 27135
GCD(67, 405) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 738
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 738) = 738
GCD(1, 738) = ( 1 x 738 ) / 738
GCD(1, 738) = 738 / 738
GCD(1, 738) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 277
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 277) = 277
GCD(1, 277) = ( 1 x 277 ) / 277
GCD(1, 277) = 277 / 277
GCD(1, 277) = 1
GCD of 67, 405, 738, 277 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 67, 405, 738, 277?
GCD of 67, 405, 738, 277 is 1
2. Where do I get the detailed procedure to find GCD of 67, 405, 738, 277?
You can find a detailed procedure to find GCD of 67, 405, 738, 277 on our page.
3. How to find GCD of 67, 405, 738, 277 on a calculator?
You can find the GCD of 67, 405, 738, 277 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.