GCD of 274, 609, 128, 153 Calculator

Given Input numbers are 274, 609, 128, 153

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

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Divisors of 153

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

1, 3, 9, 17, 51, 153

Greatest Common Divisior

We found the divisors of 274, 609, 128, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 609, 128, 153 is 1.

Therefore, GCD of numbers 274, 609, 128, 153 is 1

Given Input Data is 274, 609, 128, 153

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 153 is 3 x 3 x 17

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(274, 609) = 166866

GCD(274, 609) = ( 274 x 609 ) / 166866

GCD(274, 609) = 166866 / 166866

GCD(274, 609) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 128

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

LCM(1, 128) = 128

GCD(1, 128) = ( 1 x 128 ) / 128

GCD(1, 128) = 128 / 128

GCD(1, 128) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 153

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

LCM(1, 153) = 153

GCD(1, 153) = ( 1 x 153 ) / 153

GCD(1, 153) = 153 / 153

GCD(1, 153) = 1

GCD of 274, 609, 128, 153 is 1

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1. What is the GCD of 274, 609, 128, 153?

GCD of 274, 609, 128, 153 is 1

2. Where do I get the detailed procedure to find GCD of 274, 609, 128, 153?

You can find a detailed procedure to find GCD of 274, 609, 128, 153 on our page.

3. How to find GCD of 274, 609, 128, 153 on a calculator?

You can find the GCD of 274, 609, 128, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.