GCD of 628, 785, 684, 474 Calculator

Given Input numbers are 628, 785, 684, 474

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

Divisors of 628

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

1, 2, 4, 157, 314, 628

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Greatest Common Divisior

We found the divisors of 628, 785, 684, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 785, 684, 474 is 1.

Therefore, GCD of numbers 628, 785, 684, 474 is 1

Given Input Data is 628, 785, 684, 474

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

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 785 is 5 x 157

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 474 is 2 x 3 x 79

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(628, 785) = 3140

GCD(628, 785) = ( 628 x 785 ) / 3140

GCD(628, 785) = 492980 / 3140

GCD(628, 785) = 157

Step2:

Here we consider the GCD from the above i.e. 157 as first number and the next as 684

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

LCM(157, 684) = 107388

GCD(157, 684) = ( 157 x 684 ) / 107388

GCD(157, 684) = 107388 / 107388

GCD(157, 684) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 474

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

LCM(1, 474) = 474

GCD(1, 474) = ( 1 x 474 ) / 474

GCD(1, 474) = 474 / 474

GCD(1, 474) = 1

GCD of 628, 785, 684, 474 is 1

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1. What is the GCD of 628, 785, 684, 474?

GCD of 628, 785, 684, 474 is 1

2. Where do I get the detailed procedure to find GCD of 628, 785, 684, 474?

You can find a detailed procedure to find GCD of 628, 785, 684, 474 on our page.

3. How to find GCD of 628, 785, 684, 474 on a calculator?

You can find the GCD of 628, 785, 684, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.