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 432, 526, 53, 647 i.e. 1 largest integer that divides all the numbers equally.
GCD of 432, 526, 53, 647 is 1
GCD(432, 526, 53, 647) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 432, 526, 53, 647 is 1
GCD(432, 526, 53, 647) = 1
Given Input numbers are 432, 526, 53, 647
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 526
List of positive integer divisors of 526 that divides 526 without a remainder.
1, 2, 263, 526
Divisors of 53
List of positive integer divisors of 53 that divides 53 without a remainder.
1, 53
Divisors of 647
List of positive integer divisors of 647 that divides 647 without a remainder.
1, 647
Greatest Common Divisior
We found the divisors of 432, 526, 53, 647 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 526, 53, 647 is 1.
Therefore, GCD of numbers 432, 526, 53, 647 is 1
Given Input Data is 432, 526, 53, 647
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 526 is 2 x 263
Prime Factorization of 53 is 53
Prime Factorization of 647 is 647
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(432, 526) = 113616
GCD(432, 526) = ( 432 x 526 ) / 113616
GCD(432, 526) = 227232 / 113616
GCD(432, 526) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 53
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 53) = 106
GCD(2, 53) = ( 2 x 53 ) / 106
GCD(2, 53) = 106 / 106
GCD(2, 53) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 647
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 647) = 647
GCD(1, 647) = ( 1 x 647 ) / 647
GCD(1, 647) = 647 / 647
GCD(1, 647) = 1
GCD of 432, 526, 53, 647 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 432, 526, 53, 647?
GCD of 432, 526, 53, 647 is 1
2. Where do I get the detailed procedure to find GCD of 432, 526, 53, 647?
You can find a detailed procedure to find GCD of 432, 526, 53, 647 on our page.
3. How to find GCD of 432, 526, 53, 647 on a calculator?
You can find the GCD of 432, 526, 53, 647 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.