GCD of 438, 118, 77, 468 Calculator

Given Input numbers are 438, 118, 77, 468

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

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 77

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

1, 7, 11, 77

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Greatest Common Divisior

We found the divisors of 438, 118, 77, 468 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 118, 77, 468 is 1.

Therefore, GCD of numbers 438, 118, 77, 468 is 1

Given Input Data is 438, 118, 77, 468

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

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 118 is 2 x 59

Prime Factorization of 77 is 7 x 11

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

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(438, 118) = 25842

GCD(438, 118) = ( 438 x 118 ) / 25842

GCD(438, 118) = 51684 / 25842

GCD(438, 118) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 77

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

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

GCD(2, 77) = 154 / 154

GCD(2, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 468

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

LCM(1, 468) = 468

GCD(1, 468) = ( 1 x 468 ) / 468

GCD(1, 468) = 468 / 468

GCD(1, 468) = 1

GCD of 438, 118, 77, 468 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 955, 710, 18, 407
• GCD of 330, 181, 60, 335
• GCD of 642, 942, 16, 791
• GCD of 300, 778, 56, 467
• GCD of 572, 980, 69, 219

1. What is the GCD of 438, 118, 77, 468?

GCD of 438, 118, 77, 468 is 1

2. Where do I get the detailed procedure to find GCD of 438, 118, 77, 468?

You can find a detailed procedure to find GCD of 438, 118, 77, 468 on our page.

3. How to find GCD of 438, 118, 77, 468 on a calculator?

You can find the GCD of 438, 118, 77, 468 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.