GCD of 964, 714, 792, 474 Calculator

Given Input numbers are 964, 714, 792, 474

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 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

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

Divisors of 474

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

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

Greatest Common Divisior

We found the divisors of 964, 714, 792, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 964, 714, 792, 474 is 2.

Therefore, GCD of numbers 964, 714, 792, 474 is 2

Given Input Data is 964, 714, 792, 474

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 714 is 2 x 3 x 7 x 17

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

Prime Factorization of 474 is 2 x 3 x 79

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 714) = 344148

GCD(964, 714) = ( 964 x 714 ) / 344148

GCD(964, 714) = 688296 / 344148

GCD(964, 714) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 792

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

LCM(2, 792) = 792

GCD(2, 792) = ( 2 x 792 ) / 792

GCD(2, 792) = 1584 / 792

GCD(2, 792) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 474

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

LCM(2, 474) = 474

GCD(2, 474) = ( 2 x 474 ) / 474

GCD(2, 474) = 948 / 474

GCD(2, 474) = 2

GCD of 964, 714, 792, 474 is 2

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1. What is the GCD of 964, 714, 792, 474?

GCD of 964, 714, 792, 474 is 2

2. Where do I get the detailed procedure to find GCD of 964, 714, 792, 474?

You can find a detailed procedure to find GCD of 964, 714, 792, 474 on our page.

3. How to find GCD of 964, 714, 792, 474 on a calculator?

You can find the GCD of 964, 714, 792, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.