GCD of 342, 634, 540, 719 Calculator

Given Input numbers are 342, 634, 540, 719

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

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 719

List of positive integer divisors of 719 that divides 719 without a remainder.

1, 719

Greatest Common Divisior

We found the divisors of 342, 634, 540, 719 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 634, 540, 719 is 1.

Therefore, GCD of numbers 342, 634, 540, 719 is 1

Given Input Data is 342, 634, 540, 719

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

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 634 is 2 x 317

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 719 is 719

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(342, 634) = 108414

GCD(342, 634) = ( 342 x 634 ) / 108414

GCD(342, 634) = 216828 / 108414

GCD(342, 634) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 540

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

LCM(2, 540) = 540

GCD(2, 540) = ( 2 x 540 ) / 540

GCD(2, 540) = 1080 / 540

GCD(2, 540) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 719

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

LCM(2, 719) = 1438

GCD(2, 719) = ( 2 x 719 ) / 1438

GCD(2, 719) = 1438 / 1438

GCD(2, 719) = 1

GCD of 342, 634, 540, 719 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 100, 434, 423, 693
• GCD of 761, 505, 124, 846
• GCD of 542, 993, 150, 777
• GCD of 230, 403, 272, 562
• GCD of 670, 714, 737, 335

1. What is the GCD of 342, 634, 540, 719?

GCD of 342, 634, 540, 719 is 1

2. Where do I get the detailed procedure to find GCD of 342, 634, 540, 719?

You can find a detailed procedure to find GCD of 342, 634, 540, 719 on our page.

3. How to find GCD of 342, 634, 540, 719 on a calculator?

You can find the GCD of 342, 634, 540, 719 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.