GCD of 176, 357, 21 Calculator

Given Input numbers are 176, 357, 21

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 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Greatest Common Divisior

We found the divisors of 176, 357, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 176, 357, 21 is 1.

Therefore, GCD of numbers 176, 357, 21 is 1

Given Input Data is 176, 357, 21

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 357 is 3 x 7 x 17

Prime Factorization of 21 is 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, 357) = 62832

GCD(176, 357) = ( 176 x 357 ) / 62832

GCD(176, 357) = 62832 / 62832

GCD(176, 357) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

GCD of 176, 357, 21 is 1

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1. What is the GCD of 176, 357, 21?

GCD of 176, 357, 21 is 1

2. Where do I get the detailed procedure to find GCD of 176, 357, 21?

You can find a detailed procedure to find GCD of 176, 357, 21 on our page.

3. How to find GCD of 176, 357, 21 on a calculator?

You can find the GCD of 176, 357, 21 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.