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, 507, 491, 912 i.e. 1 largest integer that divides all the numbers equally.
GCD of 470, 507, 491, 912 is 1
GCD(470, 507, 491, 912) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 470, 507, 491, 912 is 1
GCD(470, 507, 491, 912) = 1
Given Input numbers are 470, 507, 491, 912
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 507
List of positive integer divisors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Divisors of 491
List of positive integer divisors of 491 that divides 491 without a remainder.
1, 491
Divisors of 912
List of positive integer divisors of 912 that divides 912 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Greatest Common Divisior
We found the divisors of 470, 507, 491, 912 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 507, 491, 912 is 1.
Therefore, GCD of numbers 470, 507, 491, 912 is 1
Given Input Data is 470, 507, 491, 912
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 507 is 3 x 13 x 13
Prime Factorization of 491 is 491
Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 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(470, 507) = 238290
GCD(470, 507) = ( 470 x 507 ) / 238290
GCD(470, 507) = 238290 / 238290
GCD(470, 507) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 491
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 491) = 491
GCD(1, 491) = ( 1 x 491 ) / 491
GCD(1, 491) = 491 / 491
GCD(1, 491) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 912
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 912) = 912
GCD(1, 912) = ( 1 x 912 ) / 912
GCD(1, 912) = 912 / 912
GCD(1, 912) = 1
GCD of 470, 507, 491, 912 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 470, 507, 491, 912?
GCD of 470, 507, 491, 912 is 1
2. Where do I get the detailed procedure to find GCD of 470, 507, 491, 912?
You can find a detailed procedure to find GCD of 470, 507, 491, 912 on our page.
3. How to find GCD of 470, 507, 491, 912 on a calculator?
You can find the GCD of 470, 507, 491, 912 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.