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 470, 123, 651, 906 i.e. 1 largest integer that divides all the numbers equally.
GCD of 470, 123, 651, 906 is 1
GCD(470, 123, 651, 906) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 470, 123, 651, 906 is 1
GCD(470, 123, 651, 906) = 1
Given Input numbers are 470, 123, 651, 906
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 470
List of positive integer divisors of 470 that divides 470 without a remainder.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 123
List of positive integer divisors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Divisors of 651
List of positive integer divisors of 651 that divides 651 without a remainder.
1, 3, 7, 21, 31, 93, 217, 651
Divisors of 906
List of positive integer divisors of 906 that divides 906 without a remainder.
1, 2, 3, 6, 151, 302, 453, 906
Greatest Common Divisior
We found the divisors of 470, 123, 651, 906 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 123, 651, 906 is 1.
Therefore, GCD of numbers 470, 123, 651, 906 is 1
Given Input Data is 470, 123, 651, 906
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 470 is 2 x 5 x 47
Prime Factorization of 123 is 3 x 41
Prime Factorization of 651 is 3 x 7 x 31
Prime Factorization of 906 is 2 x 3 x 151
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(470, 123) = 57810
GCD(470, 123) = ( 470 x 123 ) / 57810
GCD(470, 123) = 57810 / 57810
GCD(470, 123) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 651
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 651) = 651
GCD(1, 651) = ( 1 x 651 ) / 651
GCD(1, 651) = 651 / 651
GCD(1, 651) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 906
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 906) = 906
GCD(1, 906) = ( 1 x 906 ) / 906
GCD(1, 906) = 906 / 906
GCD(1, 906) = 1
GCD of 470, 123, 651, 906 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 470, 123, 651, 906?
GCD of 470, 123, 651, 906 is 1
2. Where do I get the detailed procedure to find GCD of 470, 123, 651, 906?
You can find a detailed procedure to find GCD of 470, 123, 651, 906 on our page.
3. How to find GCD of 470, 123, 651, 906 on a calculator?
You can find the GCD of 470, 123, 651, 906 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.