GCD of 960, 948, 549, 854 Calculator

Given Input numbers are 960, 948, 549, 854

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 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Greatest Common Divisior

We found the divisors of 960, 948, 549, 854 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 948, 549, 854 is 1.

Therefore, GCD of numbers 960, 948, 549, 854 is 1

Given Input Data is 960, 948, 549, 854

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 948 is 2 x 2 x 3 x 79

Prime Factorization of 549 is 3 x 3 x 61

Prime Factorization of 854 is 2 x 7 x 61

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, 948) = 75840

GCD(960, 948) = ( 960 x 948 ) / 75840

GCD(960, 948) = 910080 / 75840

GCD(960, 948) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 549

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

LCM(12, 549) = 2196

GCD(12, 549) = ( 12 x 549 ) / 2196

GCD(12, 549) = 6588 / 2196

GCD(12, 549) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 854

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

LCM(3, 854) = 2562

GCD(3, 854) = ( 3 x 854 ) / 2562

GCD(3, 854) = 2562 / 2562

GCD(3, 854) = 1

GCD of 960, 948, 549, 854 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 750, 823, 446, 516
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• GCD of 908, 548, 470, 261

1. What is the GCD of 960, 948, 549, 854?

GCD of 960, 948, 549, 854 is 1

2. Where do I get the detailed procedure to find GCD of 960, 948, 549, 854?

You can find a detailed procedure to find GCD of 960, 948, 549, 854 on our page.

3. How to find GCD of 960, 948, 549, 854 on a calculator?

You can find the GCD of 960, 948, 549, 854 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.