GCD of 714, 562, 15, 135 Calculator

Given Input numbers are 714, 562, 15, 135

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

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Greatest Common Divisior

We found the divisors of 714, 562, 15, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 562, 15, 135 is 1.

Therefore, GCD of numbers 714, 562, 15, 135 is 1

Given Input Data is 714, 562, 15, 135

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

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 562 is 2 x 281

Prime Factorization of 15 is 3 x 5

Prime Factorization of 135 is 3 x 3 x 3 x 5

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(714, 562) = 200634

GCD(714, 562) = ( 714 x 562 ) / 200634

GCD(714, 562) = 401268 / 200634

GCD(714, 562) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 15

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

LCM(2, 15) = 30

GCD(2, 15) = ( 2 x 15 ) / 30

GCD(2, 15) = 30 / 30

GCD(2, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 135

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

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

GCD(1, 135) = 135 / 135

GCD(1, 135) = 1

GCD of 714, 562, 15, 135 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 982, 809, 91, 410
• GCD of 516, 143, 55, 574
• GCD of 109, 421, 61, 862
• GCD of 269, 818, 53, 215
• GCD of 973, 917, 57, 504

1. What is the GCD of 714, 562, 15, 135?

GCD of 714, 562, 15, 135 is 1

2. Where do I get the detailed procedure to find GCD of 714, 562, 15, 135?

You can find a detailed procedure to find GCD of 714, 562, 15, 135 on our page.

3. How to find GCD of 714, 562, 15, 135 on a calculator?

You can find the GCD of 714, 562, 15, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.