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 456, 633, 49, 665 i.e. 1 largest integer that divides all the numbers equally.
GCD of 456, 633, 49, 665 is 1
GCD(456, 633, 49, 665) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 456, 633, 49, 665 is 1
GCD(456, 633, 49, 665) = 1
Given Input numbers are 456, 633, 49, 665
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 456
List of positive integer divisors of 456 that divides 456 without a remainder.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 633
List of positive integer divisors of 633 that divides 633 without a remainder.
1, 3, 211, 633
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
Divisors of 665
List of positive integer divisors of 665 that divides 665 without a remainder.
1, 5, 7, 19, 35, 95, 133, 665
Greatest Common Divisior
We found the divisors of 456, 633, 49, 665 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 633, 49, 665 is 1.
Therefore, GCD of numbers 456, 633, 49, 665 is 1
Given Input Data is 456, 633, 49, 665
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19
Prime Factorization of 633 is 3 x 211
Prime Factorization of 49 is 7 x 7
Prime Factorization of 665 is 5 x 7 x 19
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(456, 633) = 96216
GCD(456, 633) = ( 456 x 633 ) / 96216
GCD(456, 633) = 288648 / 96216
GCD(456, 633) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 49
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 49) = 147
GCD(3, 49) = ( 3 x 49 ) / 147
GCD(3, 49) = 147 / 147
GCD(3, 49) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 665
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 665) = 665
GCD(1, 665) = ( 1 x 665 ) / 665
GCD(1, 665) = 665 / 665
GCD(1, 665) = 1
GCD of 456, 633, 49, 665 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 456, 633, 49, 665?
GCD of 456, 633, 49, 665 is 1
2. Where do I get the detailed procedure to find GCD of 456, 633, 49, 665?
You can find a detailed procedure to find GCD of 456, 633, 49, 665 on our page.
3. How to find GCD of 456, 633, 49, 665 on a calculator?
You can find the GCD of 456, 633, 49, 665 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.