GCD of 648, 578, 153, 106 Calculator

Given Input numbers are 648, 578, 153, 106

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

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 648, 578, 153, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 578, 153, 106 is 1.

Therefore, GCD of numbers 648, 578, 153, 106 is 1

Given Input Data is 648, 578, 153, 106

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

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 106 is 2 x 53

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(648, 578) = 187272

GCD(648, 578) = ( 648 x 578 ) / 187272

GCD(648, 578) = 374544 / 187272

GCD(648, 578) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 153

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

LCM(2, 153) = 306

GCD(2, 153) = ( 2 x 153 ) / 306

GCD(2, 153) = 306 / 306

GCD(2, 153) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

GCD of 648, 578, 153, 106 is 1

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• GCD of 272, 107, 690, 599
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• GCD of 117, 149, 919, 305

1. What is the GCD of 648, 578, 153, 106?

GCD of 648, 578, 153, 106 is 1

2. Where do I get the detailed procedure to find GCD of 648, 578, 153, 106?

You can find a detailed procedure to find GCD of 648, 578, 153, 106 on our page.

3. How to find GCD of 648, 578, 153, 106 on a calculator?

You can find the GCD of 648, 578, 153, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.