GCD of 215, 438, 546, 925 Calculator

Given Input numbers are 215, 438, 546, 925

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

Divisors of 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

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 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Greatest Common Divisior

We found the divisors of 215, 438, 546, 925 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 215, 438, 546, 925 is 1.

Therefore, GCD of numbers 215, 438, 546, 925 is 1

Given Input Data is 215, 438, 546, 925

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

Prime Factorization of 215 is 5 x 43

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 925 is 5 x 5 x 37

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(215, 438) = 94170

GCD(215, 438) = ( 215 x 438 ) / 94170

GCD(215, 438) = 94170 / 94170

GCD(215, 438) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 546

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

LCM(1, 546) = 546

GCD(1, 546) = ( 1 x 546 ) / 546

GCD(1, 546) = 546 / 546

GCD(1, 546) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 925

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

LCM(1, 925) = 925

GCD(1, 925) = ( 1 x 925 ) / 925

GCD(1, 925) = 925 / 925

GCD(1, 925) = 1

GCD of 215, 438, 546, 925 is 1

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1. What is the GCD of 215, 438, 546, 925?

GCD of 215, 438, 546, 925 is 1

2. Where do I get the detailed procedure to find GCD of 215, 438, 546, 925?

You can find a detailed procedure to find GCD of 215, 438, 546, 925 on our page.

3. How to find GCD of 215, 438, 546, 925 on a calculator?

You can find the GCD of 215, 438, 546, 925 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.