GCD of 344, 370, 69, 507 Calculator

Given Input numbers are 344, 370, 69, 507

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

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 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Greatest Common Divisior

We found the divisors of 344, 370, 69, 507 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 370, 69, 507 is 1.

Therefore, GCD of numbers 344, 370, 69, 507 is 1

Given Input Data is 344, 370, 69, 507

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

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

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 69 is 3 x 23

Prime Factorization of 507 is 3 x 13 x 13

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(344, 370) = 63640

GCD(344, 370) = ( 344 x 370 ) / 63640

GCD(344, 370) = 127280 / 63640

GCD(344, 370) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 69

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

LCM(2, 69) = 138

GCD(2, 69) = ( 2 x 69 ) / 138

GCD(2, 69) = 138 / 138

GCD(2, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 507

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

LCM(1, 507) = 507

GCD(1, 507) = ( 1 x 507 ) / 507

GCD(1, 507) = 507 / 507

GCD(1, 507) = 1

GCD of 344, 370, 69, 507 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 619, 438, 85, 901
• GCD of 530, 250, 44, 275
• GCD of 720, 842, 77, 430
• GCD of 279, 346, 61, 452
• GCD of 770, 621, 11, 353

1. What is the GCD of 344, 370, 69, 507?

GCD of 344, 370, 69, 507 is 1

2. Where do I get the detailed procedure to find GCD of 344, 370, 69, 507?

You can find a detailed procedure to find GCD of 344, 370, 69, 507 on our page.

3. How to find GCD of 344, 370, 69, 507 on a calculator?

You can find the GCD of 344, 370, 69, 507 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.