GCD of 549, 356, 975 Calculator

Given Input numbers are 549, 356, 975

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

Divisors of 549

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

1, 3, 9, 61, 183, 549

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Greatest Common Divisior

We found the divisors of 549, 356, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 549, 356, 975 is 1.

Therefore, GCD of numbers 549, 356, 975 is 1

Given Input Data is 549, 356, 975

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

Prime Factorization of 549 is 3 x 3 x 61

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 975 is 3 x 5 x 5 x 13

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(549, 356) = 195444

GCD(549, 356) = ( 549 x 356 ) / 195444

GCD(549, 356) = 195444 / 195444

GCD(549, 356) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 975

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

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

GCD(1, 975) = 975 / 975

GCD(1, 975) = 1

GCD of 549, 356, 975 is 1

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1. What is the GCD of 549, 356, 975?

GCD of 549, 356, 975 is 1

2. Where do I get the detailed procedure to find GCD of 549, 356, 975?

You can find a detailed procedure to find GCD of 549, 356, 975 on our page.

3. How to find GCD of 549, 356, 975 on a calculator?

You can find the GCD of 549, 356, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.