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 745, 804, 315, 777 i.e. 1 largest integer that divides all the numbers equally.
GCD of 745, 804, 315, 777 is 1
GCD(745, 804, 315, 777) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 745, 804, 315, 777 is 1
GCD(745, 804, 315, 777) = 1
Given Input numbers are 745, 804, 315, 777
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
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 315
List of positive integer divisors of 315 that divides 315 without a remainder.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 777
List of positive integer divisors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Greatest Common Divisior
We found the divisors of 745, 804, 315, 777 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 745, 804, 315, 777 is 1.
Therefore, GCD of numbers 745, 804, 315, 777 is 1
Given Input Data is 745, 804, 315, 777
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 745 is 5 x 149
Prime Factorization of 804 is 2 x 2 x 3 x 67
Prime Factorization of 315 is 3 x 3 x 5 x 7
Prime Factorization of 777 is 3 x 7 x 37
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(745, 804) = 598980
GCD(745, 804) = ( 745 x 804 ) / 598980
GCD(745, 804) = 598980 / 598980
GCD(745, 804) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 315
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 315) = 315
GCD(1, 315) = ( 1 x 315 ) / 315
GCD(1, 315) = 315 / 315
GCD(1, 315) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 777
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 777) = 777
GCD(1, 777) = ( 1 x 777 ) / 777
GCD(1, 777) = 777 / 777
GCD(1, 777) = 1
GCD of 745, 804, 315, 777 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 745, 804, 315, 777?
GCD of 745, 804, 315, 777 is 1
2. Where do I get the detailed procedure to find GCD of 745, 804, 315, 777?
You can find a detailed procedure to find GCD of 745, 804, 315, 777 on our page.
3. How to find GCD of 745, 804, 315, 777 on a calculator?
You can find the GCD of 745, 804, 315, 777 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.