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 414, 649, 147, 481 i.e. 1 largest integer that divides all the numbers equally.
GCD of 414, 649, 147, 481 is 1
GCD(414, 649, 147, 481) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 414, 649, 147, 481 is 1
GCD(414, 649, 147, 481) = 1
Given Input numbers are 414, 649, 147, 481
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 414
List of positive integer divisors of 414 that divides 414 without a remainder.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
Divisors of 649
List of positive integer divisors of 649 that divides 649 without a remainder.
1, 11, 59, 649
Divisors of 147
List of positive integer divisors of 147 that divides 147 without a remainder.
1, 3, 7, 21, 49, 147
Divisors of 481
List of positive integer divisors of 481 that divides 481 without a remainder.
1, 13, 37, 481
Greatest Common Divisior
We found the divisors of 414, 649, 147, 481 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 414, 649, 147, 481 is 1.
Therefore, GCD of numbers 414, 649, 147, 481 is 1
Given Input Data is 414, 649, 147, 481
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 414 is 2 x 3 x 3 x 23
Prime Factorization of 649 is 11 x 59
Prime Factorization of 147 is 3 x 7 x 7
Prime Factorization of 481 is 13 x 37
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(414, 649) = 268686
GCD(414, 649) = ( 414 x 649 ) / 268686
GCD(414, 649) = 268686 / 268686
GCD(414, 649) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 147
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 147) = 147
GCD(1, 147) = ( 1 x 147 ) / 147
GCD(1, 147) = 147 / 147
GCD(1, 147) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 481
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 481) = 481
GCD(1, 481) = ( 1 x 481 ) / 481
GCD(1, 481) = 481 / 481
GCD(1, 481) = 1
GCD of 414, 649, 147, 481 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 414, 649, 147, 481?
GCD of 414, 649, 147, 481 is 1
2. Where do I get the detailed procedure to find GCD of 414, 649, 147, 481?
You can find a detailed procedure to find GCD of 414, 649, 147, 481 on our page.
3. How to find GCD of 414, 649, 147, 481 on a calculator?
You can find the GCD of 414, 649, 147, 481 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.