GCD of 48, 559, 690, 784 Calculator

Given Input numbers are 48, 559, 690, 784

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

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Greatest Common Divisior

We found the divisors of 48, 559, 690, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 559, 690, 784 is 1.

Therefore, GCD of numbers 48, 559, 690, 784 is 1

Given Input Data is 48, 559, 690, 784

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

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 559 is 13 x 43

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 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(48, 559) = 26832

GCD(48, 559) = ( 48 x 559 ) / 26832

GCD(48, 559) = 26832 / 26832

GCD(48, 559) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

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

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 784

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

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

GCD(1, 784) = 784 / 784

GCD(1, 784) = 1

GCD of 48, 559, 690, 784 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 12, 984, 690, 624
• GCD of 50, 834, 803, 583
• GCD of 70, 645, 293, 709
• GCD of 67, 999, 948, 139
• GCD of 22, 758, 784, 580

1. What is the GCD of 48, 559, 690, 784?

GCD of 48, 559, 690, 784 is 1

2. Where do I get the detailed procedure to find GCD of 48, 559, 690, 784?

You can find a detailed procedure to find GCD of 48, 559, 690, 784 on our page.

3. How to find GCD of 48, 559, 690, 784 on a calculator?

You can find the GCD of 48, 559, 690, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.