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 305, 674, 737, 486 i.e. 1 largest integer that divides all the numbers equally.
GCD of 305, 674, 737, 486 is 1
GCD(305, 674, 737, 486) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 305, 674, 737, 486 is 1
GCD(305, 674, 737, 486) = 1
Given Input numbers are 305, 674, 737, 486
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 305
List of positive integer divisors of 305 that divides 305 without a remainder.
1, 5, 61, 305
Divisors of 674
List of positive integer divisors of 674 that divides 674 without a remainder.
1, 2, 337, 674
Divisors of 737
List of positive integer divisors of 737 that divides 737 without a remainder.
1, 11, 67, 737
Divisors of 486
List of positive integer divisors of 486 that divides 486 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
Greatest Common Divisior
We found the divisors of 305, 674, 737, 486 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 305, 674, 737, 486 is 1.
Therefore, GCD of numbers 305, 674, 737, 486 is 1
Given Input Data is 305, 674, 737, 486
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 305 is 5 x 61
Prime Factorization of 674 is 2 x 337
Prime Factorization of 737 is 11 x 67
Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3
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(305, 674) = 205570
GCD(305, 674) = ( 305 x 674 ) / 205570
GCD(305, 674) = 205570 / 205570
GCD(305, 674) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 737
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 737) = 737
GCD(1, 737) = ( 1 x 737 ) / 737
GCD(1, 737) = 737 / 737
GCD(1, 737) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 486
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 486) = 486
GCD(1, 486) = ( 1 x 486 ) / 486
GCD(1, 486) = 486 / 486
GCD(1, 486) = 1
GCD of 305, 674, 737, 486 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 305, 674, 737, 486?
GCD of 305, 674, 737, 486 is 1
2. Where do I get the detailed procedure to find GCD of 305, 674, 737, 486?
You can find a detailed procedure to find GCD of 305, 674, 737, 486 on our page.
3. How to find GCD of 305, 674, 737, 486 on a calculator?
You can find the GCD of 305, 674, 737, 486 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.