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 804, 760, 603, 355 i.e. 1 largest integer that divides all the numbers equally.
GCD of 804, 760, 603, 355 is 1
GCD(804, 760, 603, 355) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 804, 760, 603, 355 is 1
GCD(804, 760, 603, 355) = 1
Given Input numbers are 804, 760, 603, 355
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 804
List of positive integer divisors of 804 that divides 804 without a remainder.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Divisors of 760
List of positive integer divisors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 603
List of positive integer divisors of 603 that divides 603 without a remainder.
1, 3, 9, 67, 201, 603
Divisors of 355
List of positive integer divisors of 355 that divides 355 without a remainder.
1, 5, 71, 355
Greatest Common Divisior
We found the divisors of 804, 760, 603, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 760, 603, 355 is 1.
Therefore, GCD of numbers 804, 760, 603, 355 is 1
Given Input Data is 804, 760, 603, 355
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 804 is 2 x 2 x 3 x 67
Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19
Prime Factorization of 603 is 3 x 3 x 67
Prime Factorization of 355 is 5 x 71
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(804, 760) = 152760
GCD(804, 760) = ( 804 x 760 ) / 152760
GCD(804, 760) = 611040 / 152760
GCD(804, 760) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 603
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 603) = 2412
GCD(4, 603) = ( 4 x 603 ) / 2412
GCD(4, 603) = 2412 / 2412
GCD(4, 603) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 355
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 355) = 355
GCD(1, 355) = ( 1 x 355 ) / 355
GCD(1, 355) = 355 / 355
GCD(1, 355) = 1
GCD of 804, 760, 603, 355 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 804, 760, 603, 355?
GCD of 804, 760, 603, 355 is 1
2. Where do I get the detailed procedure to find GCD of 804, 760, 603, 355?
You can find a detailed procedure to find GCD of 804, 760, 603, 355 on our page.
3. How to find GCD of 804, 760, 603, 355 on a calculator?
You can find the GCD of 804, 760, 603, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.