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 304, 152, 59, 628 i.e. 1 largest integer that divides all the numbers equally.
GCD of 304, 152, 59, 628 is 1
GCD(304, 152, 59, 628) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 304, 152, 59, 628 is 1
GCD(304, 152, 59, 628) = 1
Given Input numbers are 304, 152, 59, 628
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 628
List of positive integer divisors of 628 that divides 628 without a remainder.
1, 2, 4, 157, 314, 628
Greatest Common Divisior
We found the divisors of 304, 152, 59, 628 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 152, 59, 628 is 1.
Therefore, GCD of numbers 304, 152, 59, 628 is 1
Given Input Data is 304, 152, 59, 628
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
Prime Factorization of 152 is 2 x 2 x 2 x 19
Prime Factorization of 59 is 59
Prime Factorization of 628 is 2 x 2 x 157
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(304, 152) = 304
GCD(304, 152) = ( 304 x 152 ) / 304
GCD(304, 152) = 46208 / 304
GCD(304, 152) = 152
Step2:
Here we consider the GCD from the above i.e. 152 as first number and the next as 59
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(152, 59) = 8968
GCD(152, 59) = ( 152 x 59 ) / 8968
GCD(152, 59) = 8968 / 8968
GCD(152, 59) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 628
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 628) = 628
GCD(1, 628) = ( 1 x 628 ) / 628
GCD(1, 628) = 628 / 628
GCD(1, 628) = 1
GCD of 304, 152, 59, 628 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 304, 152, 59, 628?
GCD of 304, 152, 59, 628 is 1
2. Where do I get the detailed procedure to find GCD of 304, 152, 59, 628?
You can find a detailed procedure to find GCD of 304, 152, 59, 628 on our page.
3. How to find GCD of 304, 152, 59, 628 on a calculator?
You can find the GCD of 304, 152, 59, 628 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.