GCD of 523, 628, 46, 214 Calculator

Given Input numbers are 523, 628, 46, 214

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

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 628

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

1, 2, 4, 157, 314, 628

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 523, 628, 46, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 523, 628, 46, 214 is 1.

Therefore, GCD of numbers 523, 628, 46, 214 is 1

Given Input Data is 523, 628, 46, 214

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

Prime Factorization of 523 is 523

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 46 is 2 x 23

Prime Factorization of 214 is 2 x 107

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(523, 628) = 328444

GCD(523, 628) = ( 523 x 628 ) / 328444

GCD(523, 628) = 328444 / 328444

GCD(523, 628) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 46

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

LCM(1, 46) = 46

GCD(1, 46) = ( 1 x 46 ) / 46

GCD(1, 46) = 46 / 46

GCD(1, 46) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

GCD of 523, 628, 46, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 435, 598, 55, 894
• GCD of 296, 766, 21, 588
• GCD of 521, 263, 34, 199
• GCD of 353, 237, 72, 884
• GCD of 372, 429, 66, 469

1. What is the GCD of 523, 628, 46, 214?

GCD of 523, 628, 46, 214 is 1

2. Where do I get the detailed procedure to find GCD of 523, 628, 46, 214?

You can find a detailed procedure to find GCD of 523, 628, 46, 214 on our page.

3. How to find GCD of 523, 628, 46, 214 on a calculator?

You can find the GCD of 523, 628, 46, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.