GCD of 132, 530, 84, 670 Calculator

Given Input numbers are 132, 530, 84, 670

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

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 670

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

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

Greatest Common Divisior

We found the divisors of 132, 530, 84, 670 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 530, 84, 670 is 2.

Therefore, GCD of numbers 132, 530, 84, 670 is 2

Given Input Data is 132, 530, 84, 670

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

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 530 is 2 x 5 x 53

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 670 is 2 x 5 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(132, 530) = 34980

GCD(132, 530) = ( 132 x 530 ) / 34980

GCD(132, 530) = 69960 / 34980

GCD(132, 530) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 84

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

LCM(2, 84) = 84

GCD(2, 84) = ( 2 x 84 ) / 84

GCD(2, 84) = 168 / 84

GCD(2, 84) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 670

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

LCM(2, 670) = 670

GCD(2, 670) = ( 2 x 670 ) / 670

GCD(2, 670) = 1340 / 670

GCD(2, 670) = 2

GCD of 132, 530, 84, 670 is 2

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1. What is the GCD of 132, 530, 84, 670?

GCD of 132, 530, 84, 670 is 2

2. Where do I get the detailed procedure to find GCD of 132, 530, 84, 670?

You can find a detailed procedure to find GCD of 132, 530, 84, 670 on our page.

3. How to find GCD of 132, 530, 84, 670 on a calculator?

You can find the GCD of 132, 530, 84, 670 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.