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 464, 470, 803, 297 i.e. 1 largest integer that divides all the numbers equally.
GCD of 464, 470, 803, 297 is 1
GCD(464, 470, 803, 297) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 464, 470, 803, 297 is 1
GCD(464, 470, 803, 297) = 1
Given Input numbers are 464, 470, 803, 297
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 464
List of positive integer divisors of 464 that divides 464 without a remainder.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
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 803
List of positive integer divisors of 803 that divides 803 without a remainder.
1, 11, 73, 803
Divisors of 297
List of positive integer divisors of 297 that divides 297 without a remainder.
1, 3, 9, 11, 27, 33, 99, 297
Greatest Common Divisior
We found the divisors of 464, 470, 803, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 464, 470, 803, 297 is 1.
Therefore, GCD of numbers 464, 470, 803, 297 is 1
Given Input Data is 464, 470, 803, 297
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29
Prime Factorization of 470 is 2 x 5 x 47
Prime Factorization of 803 is 11 x 73
Prime Factorization of 297 is 3 x 3 x 3 x 11
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(464, 470) = 109040
GCD(464, 470) = ( 464 x 470 ) / 109040
GCD(464, 470) = 218080 / 109040
GCD(464, 470) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 803
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 803) = 1606
GCD(2, 803) = ( 2 x 803 ) / 1606
GCD(2, 803) = 1606 / 1606
GCD(2, 803) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 297
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 297) = 297
GCD(1, 297) = ( 1 x 297 ) / 297
GCD(1, 297) = 297 / 297
GCD(1, 297) = 1
GCD of 464, 470, 803, 297 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 464, 470, 803, 297?
GCD of 464, 470, 803, 297 is 1
2. Where do I get the detailed procedure to find GCD of 464, 470, 803, 297?
You can find a detailed procedure to find GCD of 464, 470, 803, 297 on our page.
3. How to find GCD of 464, 470, 803, 297 on a calculator?
You can find the GCD of 464, 470, 803, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.