GCD of 768, 916, 899, 940 Calculator

Given Input numbers are 768, 916, 899, 940

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

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 916

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

1, 2, 4, 229, 458, 916

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Greatest Common Divisior

We found the divisors of 768, 916, 899, 940 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 768, 916, 899, 940 is 1.

Therefore, GCD of numbers 768, 916, 899, 940 is 1

Given Input Data is 768, 916, 899, 940

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

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 899 is 29 x 31

Prime Factorization of 940 is 2 x 2 x 5 x 47

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(768, 916) = 175872

GCD(768, 916) = ( 768 x 916 ) / 175872

GCD(768, 916) = 703488 / 175872

GCD(768, 916) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 899

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

LCM(4, 899) = 3596

GCD(4, 899) = ( 4 x 899 ) / 3596

GCD(4, 899) = 3596 / 3596

GCD(4, 899) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 940

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

LCM(1, 940) = 940

GCD(1, 940) = ( 1 x 940 ) / 940

GCD(1, 940) = 940 / 940

GCD(1, 940) = 1

GCD of 768, 916, 899, 940 is 1

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1. What is the GCD of 768, 916, 899, 940?

GCD of 768, 916, 899, 940 is 1

2. Where do I get the detailed procedure to find GCD of 768, 916, 899, 940?

You can find a detailed procedure to find GCD of 768, 916, 899, 940 on our page.

3. How to find GCD of 768, 916, 899, 940 on a calculator?

You can find the GCD of 768, 916, 899, 940 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.