GCD of 156, 526, 22, 784 Calculator

Given Input numbers are 156, 526, 22, 784

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

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Greatest Common Divisior

We found the divisors of 156, 526, 22, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 156, 526, 22, 784 is 2.

Therefore, GCD of numbers 156, 526, 22, 784 is 2

Given Input Data is 156, 526, 22, 784

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

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 526 is 2 x 263

Prime Factorization of 22 is 2 x 11

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 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(156, 526) = 41028

GCD(156, 526) = ( 156 x 526 ) / 41028

GCD(156, 526) = 82056 / 41028

GCD(156, 526) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 22

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

LCM(2, 22) = 22

GCD(2, 22) = ( 2 x 22 ) / 22

GCD(2, 22) = 44 / 22

GCD(2, 22) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 784

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

LCM(2, 784) = 784

GCD(2, 784) = ( 2 x 784 ) / 784

GCD(2, 784) = 1568 / 784

GCD(2, 784) = 2

GCD of 156, 526, 22, 784 is 2

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• GCD of 953, 550, 52, 450
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1. What is the GCD of 156, 526, 22, 784?

GCD of 156, 526, 22, 784 is 2

2. Where do I get the detailed procedure to find GCD of 156, 526, 22, 784?

You can find a detailed procedure to find GCD of 156, 526, 22, 784 on our page.

3. How to find GCD of 156, 526, 22, 784 on a calculator?

You can find the GCD of 156, 526, 22, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.