GCD of 56, 240, 376, 305 Calculator

Given Input numbers are 56, 240, 376, 305

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 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Greatest Common Divisior

We found the divisors of 56, 240, 376, 305 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 240, 376, 305 is 1.

Therefore, GCD of numbers 56, 240, 376, 305 is 1

Given Input Data is 56, 240, 376, 305

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 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 305 is 5 x 61

The above numbers do not have any common prime factor. So GCD is 1

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, 240) = 1680

GCD(56, 240) = ( 56 x 240 ) / 1680

GCD(56, 240) = 13440 / 1680

GCD(56, 240) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 376

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

LCM(8, 376) = 376

GCD(8, 376) = ( 8 x 376 ) / 376

GCD(8, 376) = 3008 / 376

GCD(8, 376) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 305

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

LCM(8, 305) = 2440

GCD(8, 305) = ( 8 x 305 ) / 2440

GCD(8, 305) = 2440 / 2440

GCD(8, 305) = 1

GCD of 56, 240, 376, 305 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 29, 767, 888, 595
• GCD of 94, 162, 491, 151
• GCD of 79, 574, 142, 217
• GCD of 32, 351, 794, 307
• GCD of 24, 369, 349, 563

1. What is the GCD of 56, 240, 376, 305?

GCD of 56, 240, 376, 305 is 1

2. Where do I get the detailed procedure to find GCD of 56, 240, 376, 305?

You can find a detailed procedure to find GCD of 56, 240, 376, 305 on our page.

3. How to find GCD of 56, 240, 376, 305 on a calculator?

You can find the GCD of 56, 240, 376, 305 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.