GCD of 96, 560, 649, 300 Calculator

Given Input numbers are 96, 560, 649, 300

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

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

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 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Greatest Common Divisior

We found the divisors of 96, 560, 649, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 560, 649, 300 is 1.

Therefore, GCD of numbers 96, 560, 649, 300 is 1

Given Input Data is 96, 560, 649, 300

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

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

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

Prime Factorization of 649 is 11 x 59

Prime Factorization of 300 is 2 x 2 x 3 x 5 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(96, 560) = 3360

GCD(96, 560) = ( 96 x 560 ) / 3360

GCD(96, 560) = 53760 / 3360

GCD(96, 560) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 649

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

LCM(16, 649) = 10384

GCD(16, 649) = ( 16 x 649 ) / 10384

GCD(16, 649) = 10384 / 10384

GCD(16, 649) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 300

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

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

GCD(1, 300) = 300 / 300

GCD(1, 300) = 1

GCD of 96, 560, 649, 300 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 32, 737, 159, 945
• GCD of 55, 947, 176, 536
• GCD of 20, 988, 390, 579
• GCD of 73, 981, 956, 634
• GCD of 56, 596, 234, 181

1. What is the GCD of 96, 560, 649, 300?

GCD of 96, 560, 649, 300 is 1

2. Where do I get the detailed procedure to find GCD of 96, 560, 649, 300?

You can find a detailed procedure to find GCD of 96, 560, 649, 300 on our page.

3. How to find GCD of 96, 560, 649, 300 on a calculator?

You can find the GCD of 96, 560, 649, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.