GCD of 560, 747, 11, 659 Calculator

Given Input numbers are 560, 747, 11, 659

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

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 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Greatest Common Divisior

We found the divisors of 560, 747, 11, 659 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 747, 11, 659 is 1.

Therefore, GCD of numbers 560, 747, 11, 659 is 1

Given Input Data is 560, 747, 11, 659

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

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

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 11 is 11

Prime Factorization of 659 is 659

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(560, 747) = 418320

GCD(560, 747) = ( 560 x 747 ) / 418320

GCD(560, 747) = 418320 / 418320

GCD(560, 747) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 11

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

LCM(1, 11) = 11

GCD(1, 11) = ( 1 x 11 ) / 11

GCD(1, 11) = 11 / 11

GCD(1, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 659

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

LCM(1, 659) = 659

GCD(1, 659) = ( 1 x 659 ) / 659

GCD(1, 659) = 659 / 659

GCD(1, 659) = 1

GCD of 560, 747, 11, 659 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 575, 125, 24, 699
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• GCD of 860, 381, 14, 708
• GCD of 630, 746, 14, 389

1. What is the GCD of 560, 747, 11, 659?

GCD of 560, 747, 11, 659 is 1

2. Where do I get the detailed procedure to find GCD of 560, 747, 11, 659?

You can find a detailed procedure to find GCD of 560, 747, 11, 659 on our page.

3. How to find GCD of 560, 747, 11, 659 on a calculator?

You can find the GCD of 560, 747, 11, 659 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.