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 220, 777, 73, 649 i.e. 1 largest integer that divides all the numbers equally.
GCD of 220, 777, 73, 649 is 1
GCD(220, 777, 73, 649) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 220, 777, 73, 649 is 1
GCD(220, 777, 73, 649) = 1
Given Input numbers are 220, 777, 73, 649
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
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 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 649
List of positive integer divisors of 649 that divides 649 without a remainder.
1, 11, 59, 649
Greatest Common Divisior
We found the divisors of 220, 777, 73, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 777, 73, 649 is 1.
Therefore, GCD of numbers 220, 777, 73, 649 is 1
Given Input Data is 220, 777, 73, 649
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 220 is 2 x 2 x 5 x 11
Prime Factorization of 777 is 3 x 7 x 37
Prime Factorization of 73 is 73
Prime Factorization of 649 is 11 x 59
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(220, 777) = 170940
GCD(220, 777) = ( 220 x 777 ) / 170940
GCD(220, 777) = 170940 / 170940
GCD(220, 777) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 73) = 73
GCD(1, 73) = ( 1 x 73 ) / 73
GCD(1, 73) = 73 / 73
GCD(1, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 649
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 649) = 649
GCD(1, 649) = ( 1 x 649 ) / 649
GCD(1, 649) = 649 / 649
GCD(1, 649) = 1
GCD of 220, 777, 73, 649 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 220, 777, 73, 649?
GCD of 220, 777, 73, 649 is 1
2. Where do I get the detailed procedure to find GCD of 220, 777, 73, 649?
You can find a detailed procedure to find GCD of 220, 777, 73, 649 on our page.
3. How to find GCD of 220, 777, 73, 649 on a calculator?
You can find the GCD of 220, 777, 73, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.