GCD of 315, 548, 721, 438 Calculator

Given Input numbers are 315, 548, 721, 438

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

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 438

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

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

Greatest Common Divisior

We found the divisors of 315, 548, 721, 438 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 548, 721, 438 is 1.

Therefore, GCD of numbers 315, 548, 721, 438 is 1

Given Input Data is 315, 548, 721, 438

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

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 721 is 7 x 103

Prime Factorization of 438 is 2 x 3 x 73

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(315, 548) = 172620

GCD(315, 548) = ( 315 x 548 ) / 172620

GCD(315, 548) = 172620 / 172620

GCD(315, 548) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 721

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

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

GCD(1, 721) = 721 / 721

GCD(1, 721) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 438

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

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

GCD(1, 438) = 438 / 438

GCD(1, 438) = 1

GCD of 315, 548, 721, 438 is 1

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• GCD of 475, 697, 575, 397
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1. What is the GCD of 315, 548, 721, 438?

GCD of 315, 548, 721, 438 is 1

2. Where do I get the detailed procedure to find GCD of 315, 548, 721, 438?

You can find a detailed procedure to find GCD of 315, 548, 721, 438 on our page.

3. How to find GCD of 315, 548, 721, 438 on a calculator?

You can find the GCD of 315, 548, 721, 438 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.