GCD of 459, 938, 77, 218 Calculator

Given Input numbers are 459, 938, 77, 218

To find the GCD of numbers using factoring list out all the divisors of each number

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 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

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 459, 938, 77, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 459, 938, 77, 218 is 1.

Therefore, GCD of numbers 459, 938, 77, 218 is 1

Given Input Data is 459, 938, 77, 218

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 77 is 7 x 11

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(459, 938) = 430542

GCD(459, 938) = ( 459 x 938 ) / 430542

GCD(459, 938) = 430542 / 430542

GCD(459, 938) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 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 459, 938, 77, 218 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 559, 810, 61, 777
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• GCD of 144, 647, 76, 972
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1. What is the GCD of 459, 938, 77, 218?

GCD of 459, 938, 77, 218 is 1

2. Where do I get the detailed procedure to find GCD of 459, 938, 77, 218?

You can find a detailed procedure to find GCD of 459, 938, 77, 218 on our page.

3. How to find GCD of 459, 938, 77, 218 on a calculator?

You can find the GCD of 459, 938, 77, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.