GCD of 134, 670, 330, 602 Calculator

Given Input numbers are 134, 670, 330, 602

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

Divisors of 134

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

1, 2, 67, 134

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 602

List of positive integer divisors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

Greatest Common Divisior

We found the divisors of 134, 670, 330, 602 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 134, 670, 330, 602 is 2.

Therefore, GCD of numbers 134, 670, 330, 602 is 2

Given Input Data is 134, 670, 330, 602

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

Prime Factorization of 134 is 2 x 67

Prime Factorization of 670 is 2 x 5 x 67

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 602 is 2 x 7 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(134, 670) = 670

GCD(134, 670) = ( 134 x 670 ) / 670

GCD(134, 670) = 89780 / 670

GCD(134, 670) = 134

Step2:

Here we consider the GCD from the above i.e. 134 as first number and the next as 330

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

LCM(134, 330) = 22110

GCD(134, 330) = ( 134 x 330 ) / 22110

GCD(134, 330) = 44220 / 22110

GCD(134, 330) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 602

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

LCM(2, 602) = 602

GCD(2, 602) = ( 2 x 602 ) / 602

GCD(2, 602) = 1204 / 602

GCD(2, 602) = 2

GCD of 134, 670, 330, 602 is 2

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1. What is the GCD of 134, 670, 330, 602?

GCD of 134, 670, 330, 602 is 2

2. Where do I get the detailed procedure to find GCD of 134, 670, 330, 602?

You can find a detailed procedure to find GCD of 134, 670, 330, 602 on our page.

3. How to find GCD of 134, 670, 330, 602 on a calculator?

You can find the GCD of 134, 670, 330, 602 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.