GCD of 120, 732, 90, 656 Calculator

Given Input numbers are 120, 732, 90, 656

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 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Greatest Common Divisior

We found the divisors of 120, 732, 90, 656 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 732, 90, 656 is 2.

Therefore, GCD of numbers 120, 732, 90, 656 is 2

Given Input Data is 120, 732, 90, 656

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 732 is 2 x 2 x 3 x 61

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

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(120, 732) = 7320

GCD(120, 732) = ( 120 x 732 ) / 7320

GCD(120, 732) = 87840 / 7320

GCD(120, 732) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 90

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

LCM(12, 90) = 180

GCD(12, 90) = ( 12 x 90 ) / 180

GCD(12, 90) = 1080 / 180

GCD(12, 90) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 656

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

LCM(6, 656) = 1968

GCD(6, 656) = ( 6 x 656 ) / 1968

GCD(6, 656) = 3936 / 1968

GCD(6, 656) = 2

GCD of 120, 732, 90, 656 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 646, 565, 37, 294
• GCD of 206, 665, 30, 261
• GCD of 397, 442, 54, 374
• GCD of 534, 256, 87, 222
• GCD of 291, 920, 42, 163

1. What is the GCD of 120, 732, 90, 656?

GCD of 120, 732, 90, 656 is 2

2. Where do I get the detailed procedure to find GCD of 120, 732, 90, 656?

You can find a detailed procedure to find GCD of 120, 732, 90, 656 on our page.

3. How to find GCD of 120, 732, 90, 656 on a calculator?

You can find the GCD of 120, 732, 90, 656 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.