GCD of 688, 110, 10, 618 Calculator

Given Input numbers are 688, 110, 10, 618

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

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 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Greatest Common Divisior

We found the divisors of 688, 110, 10, 618 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 110, 10, 618 is 2.

Therefore, GCD of numbers 688, 110, 10, 618 is 2

Given Input Data is 688, 110, 10, 618

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

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

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 10 is 2 x 5

Prime Factorization of 618 is 2 x 3 x 103

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(688, 110) = 37840

GCD(688, 110) = ( 688 x 110 ) / 37840

GCD(688, 110) = 75680 / 37840

GCD(688, 110) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 10

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

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

GCD(2, 10) = 20 / 10

GCD(2, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 618

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

LCM(2, 618) = 618

GCD(2, 618) = ( 2 x 618 ) / 618

GCD(2, 618) = 1236 / 618

GCD(2, 618) = 2

GCD of 688, 110, 10, 618 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 441, 303, 46, 400
• GCD of 943, 711, 56, 325
• GCD of 335, 701, 24, 528
• GCD of 987, 995, 45, 302
• GCD of 364, 930, 97, 827

1. What is the GCD of 688, 110, 10, 618?

GCD of 688, 110, 10, 618 is 2

2. Where do I get the detailed procedure to find GCD of 688, 110, 10, 618?

You can find a detailed procedure to find GCD of 688, 110, 10, 618 on our page.

3. How to find GCD of 688, 110, 10, 618 on a calculator?

You can find the GCD of 688, 110, 10, 618 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.