GCD of 964, 172, 221, 792 Calculator

Given Input numbers are 964, 172, 221, 792

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 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Greatest Common Divisior

We found the divisors of 964, 172, 221, 792 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 964, 172, 221, 792 is 1.

Therefore, GCD of numbers 964, 172, 221, 792 is 1

Given Input Data is 964, 172, 221, 792

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 172 is 2 x 2 x 43

Prime Factorization of 221 is 13 x 17

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

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, 172) = 41452

GCD(964, 172) = ( 964 x 172 ) / 41452

GCD(964, 172) = 165808 / 41452

GCD(964, 172) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 221

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

LCM(4, 221) = 884

GCD(4, 221) = ( 4 x 221 ) / 884

GCD(4, 221) = 884 / 884

GCD(4, 221) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 792

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

LCM(1, 792) = 792

GCD(1, 792) = ( 1 x 792 ) / 792

GCD(1, 792) = 792 / 792

GCD(1, 792) = 1

GCD of 964, 172, 221, 792 is 1

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1. What is the GCD of 964, 172, 221, 792?

GCD of 964, 172, 221, 792 is 1

2. Where do I get the detailed procedure to find GCD of 964, 172, 221, 792?

You can find a detailed procedure to find GCD of 964, 172, 221, 792 on our page.

3. How to find GCD of 964, 172, 221, 792 on a calculator?

You can find the GCD of 964, 172, 221, 792 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.