GCD of 60, 549, 456, 458 Calculator

Given Input numbers are 60, 549, 456, 458

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

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 549

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

1, 3, 9, 61, 183, 549

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Greatest Common Divisior

We found the divisors of 60, 549, 456, 458 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 549, 456, 458 is 1.

Therefore, GCD of numbers 60, 549, 456, 458 is 1

Given Input Data is 60, 549, 456, 458

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

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 549 is 3 x 3 x 61

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 458 is 2 x 229

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(60, 549) = 10980

GCD(60, 549) = ( 60 x 549 ) / 10980

GCD(60, 549) = 32940 / 10980

GCD(60, 549) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 456

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

LCM(3, 456) = 456

GCD(3, 456) = ( 3 x 456 ) / 456

GCD(3, 456) = 1368 / 456

GCD(3, 456) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 458

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

LCM(3, 458) = 1374

GCD(3, 458) = ( 3 x 458 ) / 1374

GCD(3, 458) = 1374 / 1374

GCD(3, 458) = 1

GCD of 60, 549, 456, 458 is 1

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• GCD of 63, 188, 630, 384
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1. What is the GCD of 60, 549, 456, 458?

GCD of 60, 549, 456, 458 is 1

2. Where do I get the detailed procedure to find GCD of 60, 549, 456, 458?

You can find a detailed procedure to find GCD of 60, 549, 456, 458 on our page.

3. How to find GCD of 60, 549, 456, 458 on a calculator?

You can find the GCD of 60, 549, 456, 458 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.