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 475, 426, 53, 432 i.e. 1 largest integer that divides all the numbers equally.
GCD of 475, 426, 53, 432 is 1
GCD(475, 426, 53, 432) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 475, 426, 53, 432 is 1
GCD(475, 426, 53, 432) = 1
Given Input numbers are 475, 426, 53, 432
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 475
List of positive integer divisors of 475 that divides 475 without a remainder.
1, 5, 19, 25, 95, 475
Divisors of 426
List of positive integer divisors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 53
List of positive integer divisors of 53 that divides 53 without a remainder.
1, 53
Divisors of 432
List of positive integer divisors of 432 that divides 432 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Greatest Common Divisior
We found the divisors of 475, 426, 53, 432 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 475, 426, 53, 432 is 1.
Therefore, GCD of numbers 475, 426, 53, 432 is 1
Given Input Data is 475, 426, 53, 432
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 475 is 5 x 5 x 19
Prime Factorization of 426 is 2 x 3 x 71
Prime Factorization of 53 is 53
Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3
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(475, 426) = 202350
GCD(475, 426) = ( 475 x 426 ) / 202350
GCD(475, 426) = 202350 / 202350
GCD(475, 426) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 53
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 53) = 53
GCD(1, 53) = ( 1 x 53 ) / 53
GCD(1, 53) = 53 / 53
GCD(1, 53) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 432
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 432) = 432
GCD(1, 432) = ( 1 x 432 ) / 432
GCD(1, 432) = 432 / 432
GCD(1, 432) = 1
GCD of 475, 426, 53, 432 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 475, 426, 53, 432?
GCD of 475, 426, 53, 432 is 1
2. Where do I get the detailed procedure to find GCD of 475, 426, 53, 432?
You can find a detailed procedure to find GCD of 475, 426, 53, 432 on our page.
3. How to find GCD of 475, 426, 53, 432 on a calculator?
You can find the GCD of 475, 426, 53, 432 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.