GCD of 343, 165, 30, 662 Calculator

Given Input numbers are 343, 165, 30, 662

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

Divisors of 343

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

1, 7, 49, 343

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Greatest Common Divisior

We found the divisors of 343, 165, 30, 662 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 165, 30, 662 is 1.

Therefore, GCD of numbers 343, 165, 30, 662 is 1

Given Input Data is 343, 165, 30, 662

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

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 662 is 2 x 331

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(343, 165) = 56595

GCD(343, 165) = ( 343 x 165 ) / 56595

GCD(343, 165) = 56595 / 56595

GCD(343, 165) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 662

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

LCM(1, 662) = 662

GCD(1, 662) = ( 1 x 662 ) / 662

GCD(1, 662) = 662 / 662

GCD(1, 662) = 1

GCD of 343, 165, 30, 662 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 373, 795, 33, 894
• GCD of 441, 597, 73, 244
• GCD of 592, 191, 62, 749
• GCD of 667, 176, 52, 619
• GCD of 777, 369, 53, 989

1. What is the GCD of 343, 165, 30, 662?

GCD of 343, 165, 30, 662 is 1

2. Where do I get the detailed procedure to find GCD of 343, 165, 30, 662?

You can find a detailed procedure to find GCD of 343, 165, 30, 662 on our page.

3. How to find GCD of 343, 165, 30, 662 on a calculator?

You can find the GCD of 343, 165, 30, 662 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.