GCD of 179, 400, 655, 661 Calculator

Given Input numbers are 179, 400, 655, 661

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

Divisors of 179

List of positive integer divisors of 179 that divides 179 without a remainder.

1, 179

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Divisors of 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Greatest Common Divisior

We found the divisors of 179, 400, 655, 661 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 179, 400, 655, 661 is 1.

Therefore, GCD of numbers 179, 400, 655, 661 is 1

Given Input Data is 179, 400, 655, 661

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

Prime Factorization of 179 is 179

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 655 is 5 x 131

Prime Factorization of 661 is 661

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(179, 400) = 71600

GCD(179, 400) = ( 179 x 400 ) / 71600

GCD(179, 400) = 71600 / 71600

GCD(179, 400) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 655

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

LCM(1, 655) = 655

GCD(1, 655) = ( 1 x 655 ) / 655

GCD(1, 655) = 655 / 655

GCD(1, 655) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 661

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

LCM(1, 661) = 661

GCD(1, 661) = ( 1 x 661 ) / 661

GCD(1, 661) = 661 / 661

GCD(1, 661) = 1

GCD of 179, 400, 655, 661 is 1

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1. What is the GCD of 179, 400, 655, 661?

GCD of 179, 400, 655, 661 is 1

2. Where do I get the detailed procedure to find GCD of 179, 400, 655, 661?

You can find a detailed procedure to find GCD of 179, 400, 655, 661 on our page.

3. How to find GCD of 179, 400, 655, 661 on a calculator?

You can find the GCD of 179, 400, 655, 661 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.