GCD of 177, 153, 36, 339 Calculator

Given Input numbers are 177, 153, 36, 339

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

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Divisors of 153

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

1, 3, 9, 17, 51, 153

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Greatest Common Divisior

We found the divisors of 177, 153, 36, 339 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 177, 153, 36, 339 is 3.

Therefore, GCD of numbers 177, 153, 36, 339 is 3

Given Input Data is 177, 153, 36, 339

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

Prime Factorization of 177 is 3 x 59

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 339 is 3 x 113

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(177, 153) = 9027

GCD(177, 153) = ( 177 x 153 ) / 9027

GCD(177, 153) = 27081 / 9027

GCD(177, 153) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 36

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

LCM(3, 36) = 36

GCD(3, 36) = ( 3 x 36 ) / 36

GCD(3, 36) = 108 / 36

GCD(3, 36) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 339

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

LCM(3, 339) = 339

GCD(3, 339) = ( 3 x 339 ) / 339

GCD(3, 339) = 1017 / 339

GCD(3, 339) = 3

GCD of 177, 153, 36, 339 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 328, 291, 94, 668
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• GCD of 192, 790, 43, 963

1. What is the GCD of 177, 153, 36, 339?

GCD of 177, 153, 36, 339 is 3

2. Where do I get the detailed procedure to find GCD of 177, 153, 36, 339?

You can find a detailed procedure to find GCD of 177, 153, 36, 339 on our page.

3. How to find GCD of 177, 153, 36, 339 on a calculator?

You can find the GCD of 177, 153, 36, 339 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.