GCD of 545, 945, 72, 909 Calculator

Given Input numbers are 545, 945, 72, 909

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 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

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

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Greatest Common Divisior

We found the divisors of 545, 945, 72, 909 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 545, 945, 72, 909 is 1.

Therefore, GCD of numbers 545, 945, 72, 909 is 1

Given Input Data is 545, 945, 72, 909

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

Prime Factorization of 545 is 5 x 109

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 909 is 3 x 3 x 101

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, 945) = 103005

GCD(545, 945) = ( 545 x 945 ) / 103005

GCD(545, 945) = 515025 / 103005

GCD(545, 945) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 72

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

LCM(5, 72) = 360

GCD(5, 72) = ( 5 x 72 ) / 360

GCD(5, 72) = 360 / 360

GCD(5, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 909

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

LCM(1, 909) = 909

GCD(1, 909) = ( 1 x 909 ) / 909

GCD(1, 909) = 909 / 909

GCD(1, 909) = 1

GCD of 545, 945, 72, 909 is 1

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1. What is the GCD of 545, 945, 72, 909?

GCD of 545, 945, 72, 909 is 1

2. Where do I get the detailed procedure to find GCD of 545, 945, 72, 909?

You can find a detailed procedure to find GCD of 545, 945, 72, 909 on our page.

3. How to find GCD of 545, 945, 72, 909 on a calculator?

You can find the GCD of 545, 945, 72, 909 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.