GCD of 156, 748, 94, 512 Calculator

Given Input numbers are 156, 748, 94, 512

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 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 94

List of positive integer divisors of 94 that divides 94 without a remainder.

1, 2, 47, 94

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Greatest Common Divisior

We found the divisors of 156, 748, 94, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 156, 748, 94, 512 is 2.

Therefore, GCD of numbers 156, 748, 94, 512 is 2

Given Input Data is 156, 748, 94, 512

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 748 is 2 x 2 x 11 x 17

Prime Factorization of 94 is 2 x 47

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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, 748) = 29172

GCD(156, 748) = ( 156 x 748 ) / 29172

GCD(156, 748) = 116688 / 29172

GCD(156, 748) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 94

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

LCM(4, 94) = 188

GCD(4, 94) = ( 4 x 94 ) / 188

GCD(4, 94) = 376 / 188

GCD(4, 94) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 512

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

LCM(2, 512) = 512

GCD(2, 512) = ( 2 x 512 ) / 512

GCD(2, 512) = 1024 / 512

GCD(2, 512) = 2

GCD of 156, 748, 94, 512 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 947, 716, 46, 412
• GCD of 665, 277, 65, 577
• GCD of 957, 325, 43, 670
• GCD of 457, 823, 84, 222
• GCD of 697, 403, 44, 598

1. What is the GCD of 156, 748, 94, 512?

GCD of 156, 748, 94, 512 is 2

2. Where do I get the detailed procedure to find GCD of 156, 748, 94, 512?

You can find a detailed procedure to find GCD of 156, 748, 94, 512 on our page.

3. How to find GCD of 156, 748, 94, 512 on a calculator?

You can find the GCD of 156, 748, 94, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.