GCD of 680, 176, 655, 578 Calculator

Given Input numbers are 680, 176, 655, 578

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

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

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 655

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

1, 5, 131, 655

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Greatest Common Divisior

We found the divisors of 680, 176, 655, 578 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 176, 655, 578 is 1.

Therefore, GCD of numbers 680, 176, 655, 578 is 1

Given Input Data is 680, 176, 655, 578

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

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

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

Prime Factorization of 655 is 5 x 131

Prime Factorization of 578 is 2 x 17 x 17

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(680, 176) = 14960

GCD(680, 176) = ( 680 x 176 ) / 14960

GCD(680, 176) = 119680 / 14960

GCD(680, 176) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 655

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

LCM(8, 655) = 5240

GCD(8, 655) = ( 8 x 655 ) / 5240

GCD(8, 655) = 5240 / 5240

GCD(8, 655) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 578

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

LCM(1, 578) = 578

GCD(1, 578) = ( 1 x 578 ) / 578

GCD(1, 578) = 578 / 578

GCD(1, 578) = 1

GCD of 680, 176, 655, 578 is 1

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1. What is the GCD of 680, 176, 655, 578?

GCD of 680, 176, 655, 578 is 1

2. Where do I get the detailed procedure to find GCD of 680, 176, 655, 578?

You can find a detailed procedure to find GCD of 680, 176, 655, 578 on our page.

3. How to find GCD of 680, 176, 655, 578 on a calculator?

You can find the GCD of 680, 176, 655, 578 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.