GCD of 916, 681, 408, 960 Calculator

Given Input numbers are 916, 681, 408, 960

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

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

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

Greatest Common Divisior

We found the divisors of 916, 681, 408, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 681, 408, 960 is 1.

Therefore, GCD of numbers 916, 681, 408, 960 is 1

Given Input Data is 916, 681, 408, 960

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

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 681 is 3 x 227

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 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(916, 681) = 623796

GCD(916, 681) = ( 916 x 681 ) / 623796

GCD(916, 681) = 623796 / 623796

GCD(916, 681) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 408

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

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

GCD(1, 408) = 408 / 408

GCD(1, 408) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 960

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

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

GCD(1, 960) = 960 / 960

GCD(1, 960) = 1

GCD of 916, 681, 408, 960 is 1

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1. What is the GCD of 916, 681, 408, 960?

GCD of 916, 681, 408, 960 is 1

2. Where do I get the detailed procedure to find GCD of 916, 681, 408, 960?

You can find a detailed procedure to find GCD of 916, 681, 408, 960 on our page.

3. How to find GCD of 916, 681, 408, 960 on a calculator?

You can find the GCD of 916, 681, 408, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.