GCD of 150, 525, 549 Calculator

Given Input numbers are 150, 525, 549

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

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Greatest Common Divisior

We found the divisors of 150, 525, 549 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 525, 549 is 3.

Therefore, GCD of numbers 150, 525, 549 is 3

Given Input Data is 150, 525, 549

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

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 525 is 3 x 5 x 5 x 7

Prime Factorization of 549 is 3 x 3 x 61

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(150, 525) = 1050

GCD(150, 525) = ( 150 x 525 ) / 1050

GCD(150, 525) = 78750 / 1050

GCD(150, 525) = 75

Step2:

Here we consider the GCD from the above i.e. 75 as first number and the next as 549

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

LCM(75, 549) = 13725

GCD(75, 549) = ( 75 x 549 ) / 13725

GCD(75, 549) = 41175 / 13725

GCD(75, 549) = 3

GCD of 150, 525, 549 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 155, 728, 445
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• GCD of 477, 251, 441
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1. What is the GCD of 150, 525, 549?

GCD of 150, 525, 549 is 3

2. Where do I get the detailed procedure to find GCD of 150, 525, 549?

You can find a detailed procedure to find GCD of 150, 525, 549 on our page.

3. How to find GCD of 150, 525, 549 on a calculator?

You can find the GCD of 150, 525, 549 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.