GCD of 509, 682, 37, 105 Calculator

Given Input numbers are 509, 682, 37, 105

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

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Greatest Common Divisior

We found the divisors of 509, 682, 37, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 509, 682, 37, 105 is 1.

Therefore, GCD of numbers 509, 682, 37, 105 is 1

Given Input Data is 509, 682, 37, 105

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

Prime Factorization of 509 is 509

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 37 is 37

Prime Factorization of 105 is 3 x 5 x 7

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(509, 682) = 347138

GCD(509, 682) = ( 509 x 682 ) / 347138

GCD(509, 682) = 347138 / 347138

GCD(509, 682) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 37

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

LCM(1, 37) = 37

GCD(1, 37) = ( 1 x 37 ) / 37

GCD(1, 37) = 37 / 37

GCD(1, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

GCD of 509, 682, 37, 105 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 202, 172, 22, 216
• GCD of 373, 187, 85, 105
• GCD of 224, 511, 74, 648
• GCD of 422, 103, 26, 833
• GCD of 164, 579, 78, 588

1. What is the GCD of 509, 682, 37, 105?

GCD of 509, 682, 37, 105 is 1

2. Where do I get the detailed procedure to find GCD of 509, 682, 37, 105?

You can find a detailed procedure to find GCD of 509, 682, 37, 105 on our page.

3. How to find GCD of 509, 682, 37, 105 on a calculator?

You can find the GCD of 509, 682, 37, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.