GCD of 670, 578, 38, 125 Calculator

Given Input numbers are 670, 578, 38, 125

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

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 578

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

1, 2, 17, 34, 289, 578

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Greatest Common Divisior

We found the divisors of 670, 578, 38, 125 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 670, 578, 38, 125 is 1.

Therefore, GCD of numbers 670, 578, 38, 125 is 1

Given Input Data is 670, 578, 38, 125

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

Prime Factorization of 670 is 2 x 5 x 67

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 38 is 2 x 19

Prime Factorization of 125 is 5 x 5 x 5

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(670, 578) = 193630

GCD(670, 578) = ( 670 x 578 ) / 193630

GCD(670, 578) = 387260 / 193630

GCD(670, 578) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 38

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

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

GCD(2, 38) = 76 / 38

GCD(2, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 125

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

LCM(2, 125) = 250

GCD(2, 125) = ( 2 x 125 ) / 250

GCD(2, 125) = 250 / 250

GCD(2, 125) = 1

GCD of 670, 578, 38, 125 is 1

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1. What is the GCD of 670, 578, 38, 125?

GCD of 670, 578, 38, 125 is 1

2. Where do I get the detailed procedure to find GCD of 670, 578, 38, 125?

You can find a detailed procedure to find GCD of 670, 578, 38, 125 on our page.

3. How to find GCD of 670, 578, 38, 125 on a calculator?

You can find the GCD of 670, 578, 38, 125 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.