GCD of 545, 270, 432, 890 Calculator

Given Input numbers are 545, 270, 432, 890

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

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Greatest Common Divisior

We found the divisors of 545, 270, 432, 890 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 545, 270, 432, 890 is 1.

Therefore, GCD of numbers 545, 270, 432, 890 is 1

Given Input Data is 545, 270, 432, 890

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

Prime Factorization of 545 is 5 x 109

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 890 is 2 x 5 x 89

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(545, 270) = 29430

GCD(545, 270) = ( 545 x 270 ) / 29430

GCD(545, 270) = 147150 / 29430

GCD(545, 270) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 432

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

LCM(5, 432) = 2160

GCD(5, 432) = ( 5 x 432 ) / 2160

GCD(5, 432) = 2160 / 2160

GCD(5, 432) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 890

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

LCM(1, 890) = 890

GCD(1, 890) = ( 1 x 890 ) / 890

GCD(1, 890) = 890 / 890

GCD(1, 890) = 1

GCD of 545, 270, 432, 890 is 1

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1. What is the GCD of 545, 270, 432, 890?

GCD of 545, 270, 432, 890 is 1

2. Where do I get the detailed procedure to find GCD of 545, 270, 432, 890?

You can find a detailed procedure to find GCD of 545, 270, 432, 890 on our page.

3. How to find GCD of 545, 270, 432, 890 on a calculator?

You can find the GCD of 545, 270, 432, 890 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.