GCD of 56, 372, 296, 420 Calculator

Given Input numbers are 56, 372, 296, 420

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

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Greatest Common Divisior

We found the divisors of 56, 372, 296, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 372, 296, 420 is 4.

Therefore, GCD of numbers 56, 372, 296, 420 is 4

Given Input Data is 56, 372, 296, 420

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

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 372 is 2 x 2 x 3 x 31

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

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(56, 372) = 5208

GCD(56, 372) = ( 56 x 372 ) / 5208

GCD(56, 372) = 20832 / 5208

GCD(56, 372) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 296

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

LCM(4, 296) = 296

GCD(4, 296) = ( 4 x 296 ) / 296

GCD(4, 296) = 1184 / 296

GCD(4, 296) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 420

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

LCM(4, 420) = 420

GCD(4, 420) = ( 4 x 420 ) / 420

GCD(4, 420) = 1680 / 420

GCD(4, 420) = 4

GCD of 56, 372, 296, 420 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 36, 734, 341, 420
• GCD of 53, 706, 269, 769
• GCD of 37, 230, 254, 436
• GCD of 32, 727, 649, 448
• GCD of 30, 536, 392, 613

1. What is the GCD of 56, 372, 296, 420?

GCD of 56, 372, 296, 420 is 4

2. Where do I get the detailed procedure to find GCD of 56, 372, 296, 420?

You can find a detailed procedure to find GCD of 56, 372, 296, 420 on our page.

3. How to find GCD of 56, 372, 296, 420 on a calculator?

You can find the GCD of 56, 372, 296, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.