GCD of 56, 176, 914, 316 Calculator

Given Input numbers are 56, 176, 914, 316

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 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Greatest Common Divisior

We found the divisors of 56, 176, 914, 316 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 176, 914, 316 is 2.

Therefore, GCD of numbers 56, 176, 914, 316 is 2

Given Input Data is 56, 176, 914, 316

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 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 914 is 2 x 457

Prime Factorization of 316 is 2 x 2 x 79

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, 176) = 1232

GCD(56, 176) = ( 56 x 176 ) / 1232

GCD(56, 176) = 9856 / 1232

GCD(56, 176) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 914

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

LCM(8, 914) = 3656

GCD(8, 914) = ( 8 x 914 ) / 3656

GCD(8, 914) = 7312 / 3656

GCD(8, 914) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 316

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

LCM(2, 316) = 316

GCD(2, 316) = ( 2 x 316 ) / 316

GCD(2, 316) = 632 / 316

GCD(2, 316) = 2

GCD of 56, 176, 914, 316 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 47, 117, 128, 147
• GCD of 50, 176, 455, 602
• GCD of 58, 684, 212, 184
• GCD of 70, 361, 725, 131
• GCD of 13, 337, 421, 897

1. What is the GCD of 56, 176, 914, 316?

GCD of 56, 176, 914, 316 is 2

2. Where do I get the detailed procedure to find GCD of 56, 176, 914, 316?

You can find a detailed procedure to find GCD of 56, 176, 914, 316 on our page.

3. How to find GCD of 56, 176, 914, 316 on a calculator?

You can find the GCD of 56, 176, 914, 316 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.