GCD of 712, 472, 172, 156 Calculator

Given Input numbers are 712, 472, 172, 156

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

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

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

Greatest Common Divisior

We found the divisors of 712, 472, 172, 156 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 472, 172, 156 is 4.

Therefore, GCD of numbers 712, 472, 172, 156 is 4

Given Input Data is 712, 472, 172, 156

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

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 172 is 2 x 2 x 43

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

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(712, 472) = 42008

GCD(712, 472) = ( 712 x 472 ) / 42008

GCD(712, 472) = 336064 / 42008

GCD(712, 472) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 172

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

LCM(8, 172) = 344

GCD(8, 172) = ( 8 x 172 ) / 344

GCD(8, 172) = 1376 / 344

GCD(8, 172) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 156

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

LCM(4, 156) = 156

GCD(4, 156) = ( 4 x 156 ) / 156

GCD(4, 156) = 624 / 156

GCD(4, 156) = 4

GCD of 712, 472, 172, 156 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 296, 851, 821, 191
• GCD of 542, 349, 718, 693
• GCD of 238, 293, 143, 626
• GCD of 466, 744, 862, 292
• GCD of 814, 530, 621, 242

1. What is the GCD of 712, 472, 172, 156?

GCD of 712, 472, 172, 156 is 4

2. Where do I get the detailed procedure to find GCD of 712, 472, 172, 156?

You can find a detailed procedure to find GCD of 712, 472, 172, 156 on our page.

3. How to find GCD of 712, 472, 172, 156 on a calculator?

You can find the GCD of 712, 472, 172, 156 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.