GCD of 352, 172, 426, 471 Calculator

Given Input numbers are 352, 172, 426, 471

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

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 172

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

1, 2, 4, 43, 86, 172

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Greatest Common Divisior

We found the divisors of 352, 172, 426, 471 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 172, 426, 471 is 1.

Therefore, GCD of numbers 352, 172, 426, 471 is 1

Given Input Data is 352, 172, 426, 471

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

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 471 is 3 x 157

The above numbers do not have any common prime factor. So GCD is 1

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(352, 172) = 15136

GCD(352, 172) = ( 352 x 172 ) / 15136

GCD(352, 172) = 60544 / 15136

GCD(352, 172) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 426

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

LCM(4, 426) = 852

GCD(4, 426) = ( 4 x 426 ) / 852

GCD(4, 426) = 1704 / 852

GCD(4, 426) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 471

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

LCM(2, 471) = 942

GCD(2, 471) = ( 2 x 471 ) / 942

GCD(2, 471) = 942 / 942

GCD(2, 471) = 1

GCD of 352, 172, 426, 471 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 193, 773, 350, 895
• GCD of 233, 861, 461, 944
• GCD of 784, 454, 748, 897
• GCD of 942, 597, 680, 610
• GCD of 386, 215, 300, 702

1. What is the GCD of 352, 172, 426, 471?

GCD of 352, 172, 426, 471 is 1

2. Where do I get the detailed procedure to find GCD of 352, 172, 426, 471?

You can find a detailed procedure to find GCD of 352, 172, 426, 471 on our page.

3. How to find GCD of 352, 172, 426, 471 on a calculator?

You can find the GCD of 352, 172, 426, 471 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.