GCD of 171, 495, 343, 651 Calculator

Given Input numbers are 171, 495, 343, 651

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

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 651

List of positive integer divisors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

Greatest Common Divisior

We found the divisors of 171, 495, 343, 651 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 495, 343, 651 is 1.

Therefore, GCD of numbers 171, 495, 343, 651 is 1

Given Input Data is 171, 495, 343, 651

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

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 495 is 3 x 3 x 5 x 11

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 651 is 3 x 7 x 31

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(171, 495) = 9405

GCD(171, 495) = ( 171 x 495 ) / 9405

GCD(171, 495) = 84645 / 9405

GCD(171, 495) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 343

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

LCM(9, 343) = 3087

GCD(9, 343) = ( 9 x 343 ) / 3087

GCD(9, 343) = 3087 / 3087

GCD(9, 343) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 651

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

LCM(1, 651) = 651

GCD(1, 651) = ( 1 x 651 ) / 651

GCD(1, 651) = 651 / 651

GCD(1, 651) = 1

GCD of 171, 495, 343, 651 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 495, 544, 348, 601
• GCD of 253, 757, 914, 833
• GCD of 803, 276, 208, 751
• GCD of 111, 199, 351, 581
• GCD of 565, 491, 393, 455

1. What is the GCD of 171, 495, 343, 651?

GCD of 171, 495, 343, 651 is 1

2. Where do I get the detailed procedure to find GCD of 171, 495, 343, 651?

You can find a detailed procedure to find GCD of 171, 495, 343, 651 on our page.

3. How to find GCD of 171, 495, 343, 651 on a calculator?

You can find the GCD of 171, 495, 343, 651 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.