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 445, 657, 777, 800 i.e. 1 largest integer that divides all the numbers equally.
GCD of 445, 657, 777, 800 is 1
GCD(445, 657, 777, 800) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 445, 657, 777, 800 is 1
GCD(445, 657, 777, 800) = 1
Given Input numbers are 445, 657, 777, 800
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 445
List of positive integer divisors of 445 that divides 445 without a remainder.
1, 5, 89, 445
Divisors of 657
List of positive integer divisors of 657 that divides 657 without a remainder.
1, 3, 9, 73, 219, 657
Divisors of 777
List of positive integer divisors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Divisors of 800
List of positive integer divisors of 800 that divides 800 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Greatest Common Divisior
We found the divisors of 445, 657, 777, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 445, 657, 777, 800 is 1.
Therefore, GCD of numbers 445, 657, 777, 800 is 1
Given Input Data is 445, 657, 777, 800
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 445 is 5 x 89
Prime Factorization of 657 is 3 x 3 x 73
Prime Factorization of 777 is 3 x 7 x 37
Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5
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(445, 657) = 292365
GCD(445, 657) = ( 445 x 657 ) / 292365
GCD(445, 657) = 292365 / 292365
GCD(445, 657) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 800
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 800) = 800
GCD(1, 800) = ( 1 x 800 ) / 800
GCD(1, 800) = 800 / 800
GCD(1, 800) = 1
GCD of 445, 657, 777, 800 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 445, 657, 777, 800?
GCD of 445, 657, 777, 800 is 1
2. Where do I get the detailed procedure to find GCD of 445, 657, 777, 800?
You can find a detailed procedure to find GCD of 445, 657, 777, 800 on our page.
3. How to find GCD of 445, 657, 777, 800 on a calculator?
You can find the GCD of 445, 657, 777, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.