GCD of 120, 532, 12, 668 Calculator

Given Input numbers are 120, 532, 12, 668

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

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Greatest Common Divisior

We found the divisors of 120, 532, 12, 668 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 532, 12, 668 is 4.

Therefore, GCD of numbers 120, 532, 12, 668 is 4

Given Input Data is 120, 532, 12, 668

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

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 668 is 2 x 2 x 167

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(120, 532) = 15960

GCD(120, 532) = ( 120 x 532 ) / 15960

GCD(120, 532) = 63840 / 15960

GCD(120, 532) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 12

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

LCM(4, 12) = 12

GCD(4, 12) = ( 4 x 12 ) / 12

GCD(4, 12) = 48 / 12

GCD(4, 12) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 668

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

LCM(4, 668) = 668

GCD(4, 668) = ( 4 x 668 ) / 668

GCD(4, 668) = 2672 / 668

GCD(4, 668) = 4

GCD of 120, 532, 12, 668 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 147, 968, 91, 815
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• GCD of 210, 303, 42, 278
• GCD of 999, 271, 58, 881

1. What is the GCD of 120, 532, 12, 668?

GCD of 120, 532, 12, 668 is 4

2. Where do I get the detailed procedure to find GCD of 120, 532, 12, 668?

You can find a detailed procedure to find GCD of 120, 532, 12, 668 on our page.

3. How to find GCD of 120, 532, 12, 668 on a calculator?

You can find the GCD of 120, 532, 12, 668 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.