GCD of 660, 164, 72, 120 Calculator

Given Input numbers are 660, 164, 72, 120

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

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

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

Greatest Common Divisior

We found the divisors of 660, 164, 72, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 164, 72, 120 is 4.

Therefore, GCD of numbers 660, 164, 72, 120 is 4

Given Input Data is 660, 164, 72, 120

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

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

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

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(660, 164) = 27060

GCD(660, 164) = ( 660 x 164 ) / 27060

GCD(660, 164) = 108240 / 27060

GCD(660, 164) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 72

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

LCM(4, 72) = 72

GCD(4, 72) = ( 4 x 72 ) / 72

GCD(4, 72) = 288 / 72

GCD(4, 72) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 120

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

LCM(4, 120) = 120

GCD(4, 120) = ( 4 x 120 ) / 120

GCD(4, 120) = 480 / 120

GCD(4, 120) = 4

GCD of 660, 164, 72, 120 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 147, 133, 16, 280
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• GCD of 206, 491, 35, 833
• GCD of 322, 809, 50, 676
• GCD of 753, 764, 40, 950

1. What is the GCD of 660, 164, 72, 120?

GCD of 660, 164, 72, 120 is 4

2. Where do I get the detailed procedure to find GCD of 660, 164, 72, 120?

You can find a detailed procedure to find GCD of 660, 164, 72, 120 on our page.

3. How to find GCD of 660, 164, 72, 120 on a calculator?

You can find the GCD of 660, 164, 72, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.