GCD of 826, 402, 175, 172 Calculator

Given Input numbers are 826, 402, 175, 172

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

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Divisors of 172

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

1, 2, 4, 43, 86, 172

Greatest Common Divisior

We found the divisors of 826, 402, 175, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 826, 402, 175, 172 is 1.

Therefore, GCD of numbers 826, 402, 175, 172 is 1

Given Input Data is 826, 402, 175, 172

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

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 172 is 2 x 2 x 43

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(826, 402) = 166026

GCD(826, 402) = ( 826 x 402 ) / 166026

GCD(826, 402) = 332052 / 166026

GCD(826, 402) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 175

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

LCM(2, 175) = 350

GCD(2, 175) = ( 2 x 175 ) / 350

GCD(2, 175) = 350 / 350

GCD(2, 175) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 172

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

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

GCD(1, 172) = 172 / 172

GCD(1, 172) = 1

GCD of 826, 402, 175, 172 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 448, 552, 265, 505
• GCD of 678, 699, 380, 620
• GCD of 185, 727, 619, 757
• GCD of 749, 331, 465, 608
• GCD of 181, 869, 837, 293

1. What is the GCD of 826, 402, 175, 172?

GCD of 826, 402, 175, 172 is 1

2. Where do I get the detailed procedure to find GCD of 826, 402, 175, 172?

You can find a detailed procedure to find GCD of 826, 402, 175, 172 on our page.

3. How to find GCD of 826, 402, 175, 172 on a calculator?

You can find the GCD of 826, 402, 175, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.