GCD of 153, 177, 756, 646 Calculator

Given Input numbers are 153, 177, 756, 646

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

Divisors of 153

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

1, 3, 9, 17, 51, 153

Divisors of 177

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

1, 3, 59, 177

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Greatest Common Divisior

We found the divisors of 153, 177, 756, 646 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 153, 177, 756, 646 is 1.

Therefore, GCD of numbers 153, 177, 756, 646 is 1

Given Input Data is 153, 177, 756, 646

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

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 177 is 3 x 59

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 646 is 2 x 17 x 19

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(153, 177) = 9027

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

GCD(153, 177) = 27081 / 9027

GCD(153, 177) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 756

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

LCM(3, 756) = 756

GCD(3, 756) = ( 3 x 756 ) / 756

GCD(3, 756) = 2268 / 756

GCD(3, 756) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 646

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

LCM(3, 646) = 1938

GCD(3, 646) = ( 3 x 646 ) / 1938

GCD(3, 646) = 1938 / 1938

GCD(3, 646) = 1

GCD of 153, 177, 756, 646 is 1

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1. What is the GCD of 153, 177, 756, 646?

GCD of 153, 177, 756, 646 is 1

2. Where do I get the detailed procedure to find GCD of 153, 177, 756, 646?

You can find a detailed procedure to find GCD of 153, 177, 756, 646 on our page.

3. How to find GCD of 153, 177, 756, 646 on a calculator?

You can find the GCD of 153, 177, 756, 646 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.