GCD of 135, 665, 42, 560 Calculator

Given Input numbers are 135, 665, 42, 560

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

Divisors of 135

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

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

Divisors of 665

List of positive integer divisors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Greatest Common Divisior

We found the divisors of 135, 665, 42, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 665, 42, 560 is 1.

Therefore, GCD of numbers 135, 665, 42, 560 is 1

Given Input Data is 135, 665, 42, 560

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

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

Prime Factorization of 665 is 5 x 7 x 19

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 560 is 2 x 2 x 2 x 2 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(135, 665) = 17955

GCD(135, 665) = ( 135 x 665 ) / 17955

GCD(135, 665) = 89775 / 17955

GCD(135, 665) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 42

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

LCM(5, 42) = 210

GCD(5, 42) = ( 5 x 42 ) / 210

GCD(5, 42) = 210 / 210

GCD(5, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 560

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

LCM(1, 560) = 560

GCD(1, 560) = ( 1 x 560 ) / 560

GCD(1, 560) = 560 / 560

GCD(1, 560) = 1

GCD of 135, 665, 42, 560 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 371, 144, 61, 741
• GCD of 273, 284, 40, 496
• GCD of 227, 150, 36, 860
• GCD of 463, 389, 75, 637
• GCD of 820, 310, 84, 934

1. What is the GCD of 135, 665, 42, 560?

GCD of 135, 665, 42, 560 is 1

2. Where do I get the detailed procedure to find GCD of 135, 665, 42, 560?

You can find a detailed procedure to find GCD of 135, 665, 42, 560 on our page.

3. How to find GCD of 135, 665, 42, 560 on a calculator?

You can find the GCD of 135, 665, 42, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.