GCD of 916, 474, 53, 964 Calculator

Given Input numbers are 916, 474, 53, 964

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 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 964

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

1, 2, 4, 241, 482, 964

Greatest Common Divisior

We found the divisors of 916, 474, 53, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 474, 53, 964 is 1.

Therefore, GCD of numbers 916, 474, 53, 964 is 1

Given Input Data is 916, 474, 53, 964

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 474 is 2 x 3 x 79

Prime Factorization of 53 is 53

Prime Factorization of 964 is 2 x 2 x 241

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, 474) = 217092

GCD(916, 474) = ( 916 x 474 ) / 217092

GCD(916, 474) = 434184 / 217092

GCD(916, 474) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 53

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

LCM(2, 53) = 106

GCD(2, 53) = ( 2 x 53 ) / 106

GCD(2, 53) = 106 / 106

GCD(2, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 964

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

LCM(1, 964) = 964

GCD(1, 964) = ( 1 x 964 ) / 964

GCD(1, 964) = 964 / 964

GCD(1, 964) = 1

GCD of 916, 474, 53, 964 is 1

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1. What is the GCD of 916, 474, 53, 964?

GCD of 916, 474, 53, 964 is 1

2. Where do I get the detailed procedure to find GCD of 916, 474, 53, 964?

You can find a detailed procedure to find GCD of 916, 474, 53, 964 on our page.

3. How to find GCD of 916, 474, 53, 964 on a calculator?

You can find the GCD of 916, 474, 53, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.