GCD of 659, 136, 540, 153 Calculator

Given Input numbers are 659, 136, 540, 153

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

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

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 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

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 659, 136, 540, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 659, 136, 540, 153 is 1.

Therefore, GCD of numbers 659, 136, 540, 153 is 1

Given Input Data is 659, 136, 540, 153

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

Prime Factorization of 659 is 659

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

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

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(659, 136) = 89624

GCD(659, 136) = ( 659 x 136 ) / 89624

GCD(659, 136) = 89624 / 89624

GCD(659, 136) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 540

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

LCM(1, 540) = 540

GCD(1, 540) = ( 1 x 540 ) / 540

GCD(1, 540) = 540 / 540

GCD(1, 540) = 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 659, 136, 540, 153 is 1

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1. What is the GCD of 659, 136, 540, 153?

GCD of 659, 136, 540, 153 is 1

2. Where do I get the detailed procedure to find GCD of 659, 136, 540, 153?

You can find a detailed procedure to find GCD of 659, 136, 540, 153 on our page.

3. How to find GCD of 659, 136, 540, 153 on a calculator?

You can find the GCD of 659, 136, 540, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.