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 428, 777, 59, 218 i.e. 1 largest integer that divides all the numbers equally.
GCD of 428, 777, 59, 218 is 1
GCD(428, 777, 59, 218) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 428, 777, 59, 218 is 1
GCD(428, 777, 59, 218) = 1
Given Input numbers are 428, 777, 59, 218
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
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 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 218
List of positive integer divisors of 218 that divides 218 without a remainder.
1, 2, 109, 218
Greatest Common Divisior
We found the divisors of 428, 777, 59, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 777, 59, 218 is 1.
Therefore, GCD of numbers 428, 777, 59, 218 is 1
Given Input Data is 428, 777, 59, 218
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 777 is 3 x 7 x 37
Prime Factorization of 59 is 59
Prime Factorization of 218 is 2 x 109
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(428, 777) = 332556
GCD(428, 777) = ( 428 x 777 ) / 332556
GCD(428, 777) = 332556 / 332556
GCD(428, 777) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 59
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 59) = 59
GCD(1, 59) = ( 1 x 59 ) / 59
GCD(1, 59) = 59 / 59
GCD(1, 59) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 218
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 218) = 218
GCD(1, 218) = ( 1 x 218 ) / 218
GCD(1, 218) = 218 / 218
GCD(1, 218) = 1
GCD of 428, 777, 59, 218 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 428, 777, 59, 218?
GCD of 428, 777, 59, 218 is 1
2. Where do I get the detailed procedure to find GCD of 428, 777, 59, 218?
You can find a detailed procedure to find GCD of 428, 777, 59, 218 on our page.
3. How to find GCD of 428, 777, 59, 218 on a calculator?
You can find the GCD of 428, 777, 59, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.