GCD of 136, 549, 45, 678 Calculator

Given Input numbers are 136, 549, 45, 678

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

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 549

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

1, 3, 9, 61, 183, 549

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Greatest Common Divisior

We found the divisors of 136, 549, 45, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 136, 549, 45, 678 is 1.

Therefore, GCD of numbers 136, 549, 45, 678 is 1

Given Input Data is 136, 549, 45, 678

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

Prime Factorization of 136 is 2 x 2 x 2 x 17

Prime Factorization of 549 is 3 x 3 x 61

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 678 is 2 x 3 x 113

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(136, 549) = 74664

GCD(136, 549) = ( 136 x 549 ) / 74664

GCD(136, 549) = 74664 / 74664

GCD(136, 549) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 678

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

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

GCD(1, 678) = 678 / 678

GCD(1, 678) = 1

GCD of 136, 549, 45, 678 is 1

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• GCD of 656, 247, 31, 678
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1. What is the GCD of 136, 549, 45, 678?

GCD of 136, 549, 45, 678 is 1

2. Where do I get the detailed procedure to find GCD of 136, 549, 45, 678?

You can find a detailed procedure to find GCD of 136, 549, 45, 678 on our page.

3. How to find GCD of 136, 549, 45, 678 on a calculator?

You can find the GCD of 136, 549, 45, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.