GCD of 438, 144, 137, 607 Calculator

Given Input numbers are 438, 144, 137, 607

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 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Divisors of 607

List of positive integer divisors of 607 that divides 607 without a remainder.

1, 607

Greatest Common Divisior

We found the divisors of 438, 144, 137, 607 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 144, 137, 607 is 1.

Therefore, GCD of numbers 438, 144, 137, 607 is 1

Given Input Data is 438, 144, 137, 607

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 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 137 is 137

Prime Factorization of 607 is 607

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, 144) = 10512

GCD(438, 144) = ( 438 x 144 ) / 10512

GCD(438, 144) = 63072 / 10512

GCD(438, 144) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 137

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

LCM(6, 137) = 822

GCD(6, 137) = ( 6 x 137 ) / 822

GCD(6, 137) = 822 / 822

GCD(6, 137) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 607

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

LCM(1, 607) = 607

GCD(1, 607) = ( 1 x 607 ) / 607

GCD(1, 607) = 607 / 607

GCD(1, 607) = 1

GCD of 438, 144, 137, 607 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 180, 126, 343, 506
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• GCD of 999, 477, 604, 253
• GCD of 588, 891, 826, 733
• GCD of 138, 149, 612, 958

1. What is the GCD of 438, 144, 137, 607?

GCD of 438, 144, 137, 607 is 1

2. Where do I get the detailed procedure to find GCD of 438, 144, 137, 607?

You can find a detailed procedure to find GCD of 438, 144, 137, 607 on our page.

3. How to find GCD of 438, 144, 137, 607 on a calculator?

You can find the GCD of 438, 144, 137, 607 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.