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 106, 644, 476, 153 i.e. 1 largest integer that divides all the numbers equally.
GCD of 106, 644, 476, 153 is 1
GCD(106, 644, 476, 153) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 106, 644, 476, 153 is 1
GCD(106, 644, 476, 153) = 1
Given Input numbers are 106, 644, 476, 153
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 106
List of positive integer divisors of 106 that divides 106 without a remainder.
1, 2, 53, 106
Divisors of 644
List of positive integer divisors of 644 that divides 644 without a remainder.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
Divisors of 476
List of positive integer divisors of 476 that divides 476 without a remainder.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Divisors of 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Greatest Common Divisior
We found the divisors of 106, 644, 476, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 644, 476, 153 is 1.
Therefore, GCD of numbers 106, 644, 476, 153 is 1
Given Input Data is 106, 644, 476, 153
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 106 is 2 x 53
Prime Factorization of 644 is 2 x 2 x 7 x 23
Prime Factorization of 476 is 2 x 2 x 7 x 17
Prime Factorization of 153 is 3 x 3 x 17
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(106, 644) = 34132
GCD(106, 644) = ( 106 x 644 ) / 34132
GCD(106, 644) = 68264 / 34132
GCD(106, 644) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 476
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 476) = 476
GCD(2, 476) = ( 2 x 476 ) / 476
GCD(2, 476) = 952 / 476
GCD(2, 476) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 153
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 153) = 306
GCD(2, 153) = ( 2 x 153 ) / 306
GCD(2, 153) = 306 / 306
GCD(2, 153) = 1
GCD of 106, 644, 476, 153 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 106, 644, 476, 153?
GCD of 106, 644, 476, 153 is 1
2. Where do I get the detailed procedure to find GCD of 106, 644, 476, 153?
You can find a detailed procedure to find GCD of 106, 644, 476, 153 on our page.
3. How to find GCD of 106, 644, 476, 153 on a calculator?
You can find the GCD of 106, 644, 476, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.