GCD of 914, 849, 538, 628 Calculator

Given Input numbers are 914, 849, 538, 628

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

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

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 914, 849, 538, 628 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 914, 849, 538, 628 is 1.

Therefore, GCD of numbers 914, 849, 538, 628 is 1

Given Input Data is 914, 849, 538, 628

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

Prime Factorization of 914 is 2 x 457

Prime Factorization of 849 is 3 x 283

Prime Factorization of 538 is 2 x 269

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(914, 849) = 775986

GCD(914, 849) = ( 914 x 849 ) / 775986

GCD(914, 849) = 775986 / 775986

GCD(914, 849) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 538

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

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

GCD(1, 538) = 538 / 538

GCD(1, 538) = 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 914, 849, 538, 628 is 1

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1. What is the GCD of 914, 849, 538, 628?

GCD of 914, 849, 538, 628 is 1

2. Where do I get the detailed procedure to find GCD of 914, 849, 538, 628?

You can find a detailed procedure to find GCD of 914, 849, 538, 628 on our page.

3. How to find GCD of 914, 849, 538, 628 on a calculator?

You can find the GCD of 914, 849, 538, 628 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.