GCD of 438, 387, 157, 660 Calculator

Given Input numbers are 438, 387, 157, 660

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 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Greatest Common Divisior

We found the divisors of 438, 387, 157, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 387, 157, 660 is 1.

Therefore, GCD of numbers 438, 387, 157, 660 is 1

Given Input Data is 438, 387, 157, 660

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 387 is 3 x 3 x 43

Prime Factorization of 157 is 157

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

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, 387) = 56502

GCD(438, 387) = ( 438 x 387 ) / 56502

GCD(438, 387) = 169506 / 56502

GCD(438, 387) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 157

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

LCM(3, 157) = 471

GCD(3, 157) = ( 3 x 157 ) / 471

GCD(3, 157) = 471 / 471

GCD(3, 157) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 660

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

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

GCD(1, 660) = 660 / 660

GCD(1, 660) = 1

GCD of 438, 387, 157, 660 is 1

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1. What is the GCD of 438, 387, 157, 660?

GCD of 438, 387, 157, 660 is 1

2. Where do I get the detailed procedure to find GCD of 438, 387, 157, 660?

You can find a detailed procedure to find GCD of 438, 387, 157, 660 on our page.

3. How to find GCD of 438, 387, 157, 660 on a calculator?

You can find the GCD of 438, 387, 157, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.