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, 330, 46, 557 i.e. 1 largest integer that divides all the numbers equally.
GCD of 777, 330, 46, 557 is 1
GCD(777, 330, 46, 557) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 777, 330, 46, 557 is 1
GCD(777, 330, 46, 557) = 1
Given Input numbers are 777, 330, 46, 557
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 330
List of positive integer divisors of 330 that divides 330 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Divisors of 557
List of positive integer divisors of 557 that divides 557 without a remainder.
1, 557
Greatest Common Divisior
We found the divisors of 777, 330, 46, 557 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 777, 330, 46, 557 is 1.
Therefore, GCD of numbers 777, 330, 46, 557 is 1
Given Input Data is 777, 330, 46, 557
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 330 is 2 x 3 x 5 x 11
Prime Factorization of 46 is 2 x 23
Prime Factorization of 557 is 557
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, 330) = 85470
GCD(777, 330) = ( 777 x 330 ) / 85470
GCD(777, 330) = 256410 / 85470
GCD(777, 330) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 46
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 46) = 138
GCD(3, 46) = ( 3 x 46 ) / 138
GCD(3, 46) = 138 / 138
GCD(3, 46) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 557
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 557) = 557
GCD(1, 557) = ( 1 x 557 ) / 557
GCD(1, 557) = 557 / 557
GCD(1, 557) = 1
GCD of 777, 330, 46, 557 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 777, 330, 46, 557?
GCD of 777, 330, 46, 557 is 1
2. Where do I get the detailed procedure to find GCD of 777, 330, 46, 557?
You can find a detailed procedure to find GCD of 777, 330, 46, 557 on our page.
3. How to find GCD of 777, 330, 46, 557 on a calculator?
You can find the GCD of 777, 330, 46, 557 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.