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 777, 991, 459, 675 i.e. 1 largest integer that divides all the numbers equally.
GCD of 777, 991, 459, 675 is 1
GCD(777, 991, 459, 675) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 777, 991, 459, 675 is 1
GCD(777, 991, 459, 675) = 1
Given Input numbers are 777, 991, 459, 675
To find the GCD of numbers using factoring list out all the divisors of each number
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 991
List of positive integer divisors of 991 that divides 991 without a remainder.
1, 991
Divisors of 459
List of positive integer divisors of 459 that divides 459 without a remainder.
1, 3, 9, 17, 27, 51, 153, 459
Divisors of 675
List of positive integer divisors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Greatest Common Divisior
We found the divisors of 777, 991, 459, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 777, 991, 459, 675 is 1.
Therefore, GCD of numbers 777, 991, 459, 675 is 1
Given Input Data is 777, 991, 459, 675
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 777 is 3 x 7 x 37
Prime Factorization of 991 is 991
Prime Factorization of 459 is 3 x 3 x 3 x 17
Prime Factorization of 675 is 3 x 3 x 3 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(777, 991) = 770007
GCD(777, 991) = ( 777 x 991 ) / 770007
GCD(777, 991) = 770007 / 770007
GCD(777, 991) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 459
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 459) = 459
GCD(1, 459) = ( 1 x 459 ) / 459
GCD(1, 459) = 459 / 459
GCD(1, 459) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 675
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 675) = 675
GCD(1, 675) = ( 1 x 675 ) / 675
GCD(1, 675) = 675 / 675
GCD(1, 675) = 1
GCD of 777, 991, 459, 675 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 777, 991, 459, 675?
GCD of 777, 991, 459, 675 is 1
2. Where do I get the detailed procedure to find GCD of 777, 991, 459, 675?
You can find a detailed procedure to find GCD of 777, 991, 459, 675 on our page.
3. How to find GCD of 777, 991, 459, 675 on a calculator?
You can find the GCD of 777, 991, 459, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.