GCD of 428, 777, 59, 218 Calculator

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.

• GCD of 330, 669, 66, 102
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• GCD of 170, 809, 72, 595
• GCD of 213, 112, 93, 323

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.