GCD of 964, 919, 408, 916 Calculator

Given Input numbers are 964, 919, 408, 916

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

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

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 916

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

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 964, 919, 408, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 964, 919, 408, 916 is 1.

Therefore, GCD of numbers 964, 919, 408, 916 is 1

Given Input Data is 964, 919, 408, 916

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

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 919 is 919

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

Prime Factorization of 916 is 2 x 2 x 229

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(964, 919) = 885916

GCD(964, 919) = ( 964 x 919 ) / 885916

GCD(964, 919) = 885916 / 885916

GCD(964, 919) = 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 916

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

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

GCD(1, 916) = 916 / 916

GCD(1, 916) = 1

GCD of 964, 919, 408, 916 is 1

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1. What is the GCD of 964, 919, 408, 916?

GCD of 964, 919, 408, 916 is 1

2. Where do I get the detailed procedure to find GCD of 964, 919, 408, 916?

You can find a detailed procedure to find GCD of 964, 919, 408, 916 on our page.

3. How to find GCD of 964, 919, 408, 916 on a calculator?

You can find the GCD of 964, 919, 408, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.