GCD of 71, 344, 152, 645 Calculator

Given Input numbers are 71, 344, 152, 645

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

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Greatest Common Divisior

We found the divisors of 71, 344, 152, 645 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 344, 152, 645 is 1.

Therefore, GCD of numbers 71, 344, 152, 645 is 1

Given Input Data is 71, 344, 152, 645

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

Prime Factorization of 71 is 71

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 645 is 3 x 5 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(71, 344) = 24424

GCD(71, 344) = ( 71 x 344 ) / 24424

GCD(71, 344) = 24424 / 24424

GCD(71, 344) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 152

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

LCM(1, 152) = 152

GCD(1, 152) = ( 1 x 152 ) / 152

GCD(1, 152) = 152 / 152

GCD(1, 152) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 645

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

LCM(1, 645) = 645

GCD(1, 645) = ( 1 x 645 ) / 645

GCD(1, 645) = 645 / 645

GCD(1, 645) = 1

GCD of 71, 344, 152, 645 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 58, 988, 337, 333
• GCD of 32, 713, 995, 199
• GCD of 22, 732, 174, 769
• GCD of 17, 387, 928, 176
• GCD of 40, 477, 406, 619

1. What is the GCD of 71, 344, 152, 645?

GCD of 71, 344, 152, 645 is 1

2. Where do I get the detailed procedure to find GCD of 71, 344, 152, 645?

You can find a detailed procedure to find GCD of 71, 344, 152, 645 on our page.

3. How to find GCD of 71, 344, 152, 645 on a calculator?

You can find the GCD of 71, 344, 152, 645 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.