GCD of 345, 423, 169, 654 Calculator

Given Input numbers are 345, 423, 169, 654

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Greatest Common Divisior

We found the divisors of 345, 423, 169, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 423, 169, 654 is 1.

Therefore, GCD of numbers 345, 423, 169, 654 is 1

Given Input Data is 345, 423, 169, 654

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 169 is 13 x 13

Prime Factorization of 654 is 2 x 3 x 109

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(345, 423) = 48645

GCD(345, 423) = ( 345 x 423 ) / 48645

GCD(345, 423) = 145935 / 48645

GCD(345, 423) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 169

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

LCM(3, 169) = 507

GCD(3, 169) = ( 3 x 169 ) / 507

GCD(3, 169) = 507 / 507

GCD(3, 169) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 654

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

LCM(1, 654) = 654

GCD(1, 654) = ( 1 x 654 ) / 654

GCD(1, 654) = 654 / 654

GCD(1, 654) = 1

GCD of 345, 423, 169, 654 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 761, 200, 757, 745
• GCD of 965, 217, 756, 509
• GCD of 490, 778, 662, 137
• GCD of 824, 145, 405, 300
• GCD of 881, 696, 237, 124

1. What is the GCD of 345, 423, 169, 654?

GCD of 345, 423, 169, 654 is 1

2. Where do I get the detailed procedure to find GCD of 345, 423, 169, 654?

You can find a detailed procedure to find GCD of 345, 423, 169, 654 on our page.

3. How to find GCD of 345, 423, 169, 654 on a calculator?

You can find the GCD of 345, 423, 169, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.