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 265, 824, 475, 480 i.e. 1 largest integer that divides all the numbers equally.
GCD of 265, 824, 475, 480 is 1
GCD(265, 824, 475, 480) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 265, 824, 475, 480 is 1
GCD(265, 824, 475, 480) = 1
Given Input numbers are 265, 824, 475, 480
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 265
List of positive integer divisors of 265 that divides 265 without a remainder.
1, 5, 53, 265
Divisors of 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 475
List of positive integer divisors of 475 that divides 475 without a remainder.
1, 5, 19, 25, 95, 475
Divisors of 480
List of positive integer divisors of 480 that divides 480 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Greatest Common Divisior
We found the divisors of 265, 824, 475, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 265, 824, 475, 480 is 1.
Therefore, GCD of numbers 265, 824, 475, 480 is 1
Given Input Data is 265, 824, 475, 480
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 265 is 5 x 53
Prime Factorization of 824 is 2 x 2 x 2 x 103
Prime Factorization of 475 is 5 x 5 x 19
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
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(265, 824) = 218360
GCD(265, 824) = ( 265 x 824 ) / 218360
GCD(265, 824) = 218360 / 218360
GCD(265, 824) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 475
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 475) = 475
GCD(1, 475) = ( 1 x 475 ) / 475
GCD(1, 475) = 475 / 475
GCD(1, 475) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 480
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 480) = 480
GCD(1, 480) = ( 1 x 480 ) / 480
GCD(1, 480) = 480 / 480
GCD(1, 480) = 1
GCD of 265, 824, 475, 480 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 265, 824, 475, 480?
GCD of 265, 824, 475, 480 is 1
2. Where do I get the detailed procedure to find GCD of 265, 824, 475, 480?
You can find a detailed procedure to find GCD of 265, 824, 475, 480 on our page.
3. How to find GCD of 265, 824, 475, 480 on a calculator?
You can find the GCD of 265, 824, 475, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.