GCD of 960, 880, 96, 849 Calculator

Given Input numbers are 960, 880, 96, 849

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

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

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 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Greatest Common Divisior

We found the divisors of 960, 880, 96, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 880, 96, 849 is 1.

Therefore, GCD of numbers 960, 880, 96, 849 is 1

Given Input Data is 960, 880, 96, 849

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

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

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

Prime Factorization of 849 is 3 x 283

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(960, 880) = 10560

GCD(960, 880) = ( 960 x 880 ) / 10560

GCD(960, 880) = 844800 / 10560

GCD(960, 880) = 80

Step2:

Here we consider the GCD from the above i.e. 80 as first number and the next as 96

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

LCM(80, 96) = 480

GCD(80, 96) = ( 80 x 96 ) / 480

GCD(80, 96) = 7680 / 480

GCD(80, 96) = 16

Step3:

Here we consider the GCD from the above i.e. 16 as first number and the next as 849

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

LCM(16, 849) = 13584

GCD(16, 849) = ( 16 x 849 ) / 13584

GCD(16, 849) = 13584 / 13584

GCD(16, 849) = 1

GCD of 960, 880, 96, 849 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 605, 477, 68, 331
• GCD of 260, 199, 86, 698
• GCD of 452, 180, 41, 211
• GCD of 549, 773, 13, 729
• GCD of 950, 576, 44, 671

1. What is the GCD of 960, 880, 96, 849?

GCD of 960, 880, 96, 849 is 1

2. Where do I get the detailed procedure to find GCD of 960, 880, 96, 849?

You can find a detailed procedure to find GCD of 960, 880, 96, 849 on our page.

3. How to find GCD of 960, 880, 96, 849 on a calculator?

You can find the GCD of 960, 880, 96, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.