GCD of 15, 560, 842, 414 Calculator

Given Input numbers are 15, 560, 842, 414

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

Divisors of 15

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

1, 3, 5, 15

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

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Greatest Common Divisior

We found the divisors of 15, 560, 842, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 560, 842, 414 is 1.

Therefore, GCD of numbers 15, 560, 842, 414 is 1

Given Input Data is 15, 560, 842, 414

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 842 is 2 x 421

Prime Factorization of 414 is 2 x 3 x 3 x 23

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(15, 560) = 1680

GCD(15, 560) = ( 15 x 560 ) / 1680

GCD(15, 560) = 8400 / 1680

GCD(15, 560) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 842

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

LCM(5, 842) = 4210

GCD(5, 842) = ( 5 x 842 ) / 4210

GCD(5, 842) = 4210 / 4210

GCD(5, 842) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 414

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

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

GCD(1, 414) = 414 / 414

GCD(1, 414) = 1

GCD of 15, 560, 842, 414 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 57, 601, 829, 951
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• GCD of 78, 396, 432, 793
• GCD of 71, 794, 944, 888
• GCD of 11, 134, 822, 797

1. What is the GCD of 15, 560, 842, 414?

GCD of 15, 560, 842, 414 is 1

2. Where do I get the detailed procedure to find GCD of 15, 560, 842, 414?

You can find a detailed procedure to find GCD of 15, 560, 842, 414 on our page.

3. How to find GCD of 15, 560, 842, 414 on a calculator?

You can find the GCD of 15, 560, 842, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.