GCD of 600, 314, 508, 134 Calculator

Given Input numbers are 600, 314, 508, 134

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

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 134

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

1, 2, 67, 134

Greatest Common Divisior

We found the divisors of 600, 314, 508, 134 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 314, 508, 134 is 2.

Therefore, GCD of numbers 600, 314, 508, 134 is 2

Given Input Data is 600, 314, 508, 134

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

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 314 is 2 x 157

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 134 is 2 x 67

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(600, 314) = 94200

GCD(600, 314) = ( 600 x 314 ) / 94200

GCD(600, 314) = 188400 / 94200

GCD(600, 314) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 508

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

LCM(2, 508) = 508

GCD(2, 508) = ( 2 x 508 ) / 508

GCD(2, 508) = 1016 / 508

GCD(2, 508) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 134

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

LCM(2, 134) = 134

GCD(2, 134) = ( 2 x 134 ) / 134

GCD(2, 134) = 268 / 134

GCD(2, 134) = 2

GCD of 600, 314, 508, 134 is 2

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1. What is the GCD of 600, 314, 508, 134?

GCD of 600, 314, 508, 134 is 2

2. Where do I get the detailed procedure to find GCD of 600, 314, 508, 134?

You can find a detailed procedure to find GCD of 600, 314, 508, 134 on our page.

3. How to find GCD of 600, 314, 508, 134 on a calculator?

You can find the GCD of 600, 314, 508, 134 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.