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 469, 413, 65, 802 i.e. 1 largest integer that divides all the numbers equally.
GCD of 469, 413, 65, 802 is 1
GCD(469, 413, 65, 802) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 469, 413, 65, 802 is 1
GCD(469, 413, 65, 802) = 1
Given Input numbers are 469, 413, 65, 802
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 469
List of positive integer divisors of 469 that divides 469 without a remainder.
1, 7, 67, 469
Divisors of 413
List of positive integer divisors of 413 that divides 413 without a remainder.
1, 7, 59, 413
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 802
List of positive integer divisors of 802 that divides 802 without a remainder.
1, 2, 401, 802
Greatest Common Divisior
We found the divisors of 469, 413, 65, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 469, 413, 65, 802 is 1.
Therefore, GCD of numbers 469, 413, 65, 802 is 1
Given Input Data is 469, 413, 65, 802
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 469 is 7 x 67
Prime Factorization of 413 is 7 x 59
Prime Factorization of 65 is 5 x 13
Prime Factorization of 802 is 2 x 401
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(469, 413) = 27671
GCD(469, 413) = ( 469 x 413 ) / 27671
GCD(469, 413) = 193697 / 27671
GCD(469, 413) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 65
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 65) = 455
GCD(7, 65) = ( 7 x 65 ) / 455
GCD(7, 65) = 455 / 455
GCD(7, 65) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 802
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 802) = 802
GCD(1, 802) = ( 1 x 802 ) / 802
GCD(1, 802) = 802 / 802
GCD(1, 802) = 1
GCD of 469, 413, 65, 802 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 469, 413, 65, 802?
GCD of 469, 413, 65, 802 is 1
2. Where do I get the detailed procedure to find GCD of 469, 413, 65, 802?
You can find a detailed procedure to find GCD of 469, 413, 65, 802 on our page.
3. How to find GCD of 469, 413, 65, 802 on a calculator?
You can find the GCD of 469, 413, 65, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.