GCD of 705, 125, 392, 628 Calculator

Given Input numbers are 705, 125, 392, 628

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

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 125

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

1, 5, 25, 125

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Greatest Common Divisior

We found the divisors of 705, 125, 392, 628 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 125, 392, 628 is 1.

Therefore, GCD of numbers 705, 125, 392, 628 is 1

Given Input Data is 705, 125, 392, 628

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

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 628 is 2 x 2 x 157

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(705, 125) = 17625

GCD(705, 125) = ( 705 x 125 ) / 17625

GCD(705, 125) = 88125 / 17625

GCD(705, 125) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 392

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

LCM(5, 392) = 1960

GCD(5, 392) = ( 5 x 392 ) / 1960

GCD(5, 392) = 1960 / 1960

GCD(5, 392) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 628

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

LCM(1, 628) = 628

GCD(1, 628) = ( 1 x 628 ) / 628

GCD(1, 628) = 628 / 628

GCD(1, 628) = 1

GCD of 705, 125, 392, 628 is 1

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1. What is the GCD of 705, 125, 392, 628?

GCD of 705, 125, 392, 628 is 1

2. Where do I get the detailed procedure to find GCD of 705, 125, 392, 628?

You can find a detailed procedure to find GCD of 705, 125, 392, 628 on our page.

3. How to find GCD of 705, 125, 392, 628 on a calculator?

You can find the GCD of 705, 125, 392, 628 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.