GCD of 56, 532, 288, 350 Calculator

Given Input numbers are 56, 532, 288, 350

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 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 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Greatest Common Divisior

We found the divisors of 56, 532, 288, 350 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 532, 288, 350 is 2.

Therefore, GCD of numbers 56, 532, 288, 350 is 2

Given Input Data is 56, 532, 288, 350

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 532 is 2 x 2 x 7 x 19

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 350 is 2 x 5 x 5 x 7

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(56, 532) = 1064

GCD(56, 532) = ( 56 x 532 ) / 1064

GCD(56, 532) = 29792 / 1064

GCD(56, 532) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 288

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

LCM(28, 288) = 2016

GCD(28, 288) = ( 28 x 288 ) / 2016

GCD(28, 288) = 8064 / 2016

GCD(28, 288) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 350

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

LCM(4, 350) = 700

GCD(4, 350) = ( 4 x 350 ) / 700

GCD(4, 350) = 1400 / 700

GCD(4, 350) = 2

GCD of 56, 532, 288, 350 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 70, 166, 990, 444
• GCD of 63, 830, 848, 147
• GCD of 10, 614, 339, 214
• GCD of 39, 626, 732, 862
• GCD of 28, 821, 876, 696

1. What is the GCD of 56, 532, 288, 350?

GCD of 56, 532, 288, 350 is 2

2. Where do I get the detailed procedure to find GCD of 56, 532, 288, 350?

You can find a detailed procedure to find GCD of 56, 532, 288, 350 on our page.

3. How to find GCD of 56, 532, 288, 350 on a calculator?

You can find the GCD of 56, 532, 288, 350 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.