GCD of 176, 209, 61, 756 Calculator

Given Input numbers are 176, 209, 61, 756

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

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

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

Greatest Common Divisior

We found the divisors of 176, 209, 61, 756 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 176, 209, 61, 756 is 1.

Therefore, GCD of numbers 176, 209, 61, 756 is 1

Given Input Data is 176, 209, 61, 756

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

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 209 is 11 x 19

Prime Factorization of 61 is 61

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

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(176, 209) = 3344

GCD(176, 209) = ( 176 x 209 ) / 3344

GCD(176, 209) = 36784 / 3344

GCD(176, 209) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 61

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

LCM(11, 61) = 671

GCD(11, 61) = ( 11 x 61 ) / 671

GCD(11, 61) = 671 / 671

GCD(11, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 756

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

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

GCD(1, 756) = 756 / 756

GCD(1, 756) = 1

GCD of 176, 209, 61, 756 is 1

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1. What is the GCD of 176, 209, 61, 756?

GCD of 176, 209, 61, 756 is 1

2. Where do I get the detailed procedure to find GCD of 176, 209, 61, 756?

You can find a detailed procedure to find GCD of 176, 209, 61, 756 on our page.

3. How to find GCD of 176, 209, 61, 756 on a calculator?

You can find the GCD of 176, 209, 61, 756 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.