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 53, 145, 178, 633 i.e. 1 largest integer that divides all the numbers equally.
GCD of 53, 145, 178, 633 is 1
GCD(53, 145, 178, 633) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 53, 145, 178, 633 is 1
GCD(53, 145, 178, 633) = 1
Given Input numbers are 53, 145, 178, 633
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 53
List of positive integer divisors of 53 that divides 53 without a remainder.
1, 53
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Divisors of 178
List of positive integer divisors of 178 that divides 178 without a remainder.
1, 2, 89, 178
Divisors of 633
List of positive integer divisors of 633 that divides 633 without a remainder.
1, 3, 211, 633
Greatest Common Divisior
We found the divisors of 53, 145, 178, 633 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 53, 145, 178, 633 is 1.
Therefore, GCD of numbers 53, 145, 178, 633 is 1
Given Input Data is 53, 145, 178, 633
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 53 is 53
Prime Factorization of 145 is 5 x 29
Prime Factorization of 178 is 2 x 89
Prime Factorization of 633 is 3 x 211
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(53, 145) = 7685
GCD(53, 145) = ( 53 x 145 ) / 7685
GCD(53, 145) = 7685 / 7685
GCD(53, 145) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 178
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 178) = 178
GCD(1, 178) = ( 1 x 178 ) / 178
GCD(1, 178) = 178 / 178
GCD(1, 178) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 633
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 633) = 633
GCD(1, 633) = ( 1 x 633 ) / 633
GCD(1, 633) = 633 / 633
GCD(1, 633) = 1
GCD of 53, 145, 178, 633 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 53, 145, 178, 633?
GCD of 53, 145, 178, 633 is 1
2. Where do I get the detailed procedure to find GCD of 53, 145, 178, 633?
You can find a detailed procedure to find GCD of 53, 145, 178, 633 on our page.
3. How to find GCD of 53, 145, 178, 633 on a calculator?
You can find the GCD of 53, 145, 178, 633 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.