GCD of 628, 685, 126, 590 Calculator

Given Input numbers are 628, 685, 126, 590

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 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Greatest Common Divisior

We found the divisors of 628, 685, 126, 590 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 685, 126, 590 is 1.

Therefore, GCD of numbers 628, 685, 126, 590 is 1

Given Input Data is 628, 685, 126, 590

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 685 is 5 x 137

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 590 is 2 x 5 x 59

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, 685) = 430180

GCD(628, 685) = ( 628 x 685 ) / 430180

GCD(628, 685) = 430180 / 430180

GCD(628, 685) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 126

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

LCM(1, 126) = 126

GCD(1, 126) = ( 1 x 126 ) / 126

GCD(1, 126) = 126 / 126

GCD(1, 126) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 590

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

LCM(1, 590) = 590

GCD(1, 590) = ( 1 x 590 ) / 590

GCD(1, 590) = 590 / 590

GCD(1, 590) = 1

GCD of 628, 685, 126, 590 is 1

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1. What is the GCD of 628, 685, 126, 590?

GCD of 628, 685, 126, 590 is 1

2. Where do I get the detailed procedure to find GCD of 628, 685, 126, 590?

You can find a detailed procedure to find GCD of 628, 685, 126, 590 on our page.

3. How to find GCD of 628, 685, 126, 590 on a calculator?

You can find the GCD of 628, 685, 126, 590 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.