GCD of 111, 688, 628, 630 Calculator

Given Input numbers are 111, 688, 628, 630

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

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 628

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

1, 2, 4, 157, 314, 628

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Greatest Common Divisior

We found the divisors of 111, 688, 628, 630 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 111, 688, 628, 630 is 1.

Therefore, GCD of numbers 111, 688, 628, 630 is 1

Given Input Data is 111, 688, 628, 630

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

Prime Factorization of 111 is 3 x 37

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

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(111, 688) = 76368

GCD(111, 688) = ( 111 x 688 ) / 76368

GCD(111, 688) = 76368 / 76368

GCD(111, 688) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 630

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

LCM(1, 630) = 630

GCD(1, 630) = ( 1 x 630 ) / 630

GCD(1, 630) = 630 / 630

GCD(1, 630) = 1

GCD of 111, 688, 628, 630 is 1

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1. What is the GCD of 111, 688, 628, 630?

GCD of 111, 688, 628, 630 is 1

2. Where do I get the detailed procedure to find GCD of 111, 688, 628, 630?

You can find a detailed procedure to find GCD of 111, 688, 628, 630 on our page.

3. How to find GCD of 111, 688, 628, 630 on a calculator?

You can find the GCD of 111, 688, 628, 630 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.