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 545, 304, 753, 376 i.e. 1 largest integer that divides all the numbers equally.
GCD of 545, 304, 753, 376 is 1
GCD(545, 304, 753, 376) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 545, 304, 753, 376 is 1
GCD(545, 304, 753, 376) = 1
Given Input numbers are 545, 304, 753, 376
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 545
List of positive integer divisors of 545 that divides 545 without a remainder.
1, 5, 109, 545
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 753
List of positive integer divisors of 753 that divides 753 without a remainder.
1, 3, 251, 753
Divisors of 376
List of positive integer divisors of 376 that divides 376 without a remainder.
1, 2, 4, 8, 47, 94, 188, 376
Greatest Common Divisior
We found the divisors of 545, 304, 753, 376 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 545, 304, 753, 376 is 1.
Therefore, GCD of numbers 545, 304, 753, 376 is 1
Given Input Data is 545, 304, 753, 376
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 545 is 5 x 109
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
Prime Factorization of 753 is 3 x 251
Prime Factorization of 376 is 2 x 2 x 2 x 47
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(545, 304) = 165680
GCD(545, 304) = ( 545 x 304 ) / 165680
GCD(545, 304) = 165680 / 165680
GCD(545, 304) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 753
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 753) = 753
GCD(1, 753) = ( 1 x 753 ) / 753
GCD(1, 753) = 753 / 753
GCD(1, 753) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 376
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 376) = 376
GCD(1, 376) = ( 1 x 376 ) / 376
GCD(1, 376) = 376 / 376
GCD(1, 376) = 1
GCD of 545, 304, 753, 376 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 545, 304, 753, 376?
GCD of 545, 304, 753, 376 is 1
2. Where do I get the detailed procedure to find GCD of 545, 304, 753, 376?
You can find a detailed procedure to find GCD of 545, 304, 753, 376 on our page.
3. How to find GCD of 545, 304, 753, 376 on a calculator?
You can find the GCD of 545, 304, 753, 376 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.