GCD of 610, 134, 14, 688 Calculator

Given Input numbers are 610, 134, 14, 688

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

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

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

Greatest Common Divisior

We found the divisors of 610, 134, 14, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 610, 134, 14, 688 is 2.

Therefore, GCD of numbers 610, 134, 14, 688 is 2

Given Input Data is 610, 134, 14, 688

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

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 134 is 2 x 67

Prime Factorization of 14 is 2 x 7

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

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(610, 134) = 40870

GCD(610, 134) = ( 610 x 134 ) / 40870

GCD(610, 134) = 81740 / 40870

GCD(610, 134) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 688

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

LCM(2, 688) = 688

GCD(2, 688) = ( 2 x 688 ) / 688

GCD(2, 688) = 1376 / 688

GCD(2, 688) = 2

GCD of 610, 134, 14, 688 is 2

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1. What is the GCD of 610, 134, 14, 688?

GCD of 610, 134, 14, 688 is 2

2. Where do I get the detailed procedure to find GCD of 610, 134, 14, 688?

You can find a detailed procedure to find GCD of 610, 134, 14, 688 on our page.

3. How to find GCD of 610, 134, 14, 688 on a calculator?

You can find the GCD of 610, 134, 14, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.