GCD of 478, 604, 64, 694 Calculator

Given Input numbers are 478, 604, 64, 694

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

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Greatest Common Divisior

We found the divisors of 478, 604, 64, 694 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 478, 604, 64, 694 is 2.

Therefore, GCD of numbers 478, 604, 64, 694 is 2

Given Input Data is 478, 604, 64, 694

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

Prime Factorization of 478 is 2 x 239

Prime Factorization of 604 is 2 x 2 x 151

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 694 is 2 x 347

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(478, 604) = 144356

GCD(478, 604) = ( 478 x 604 ) / 144356

GCD(478, 604) = 288712 / 144356

GCD(478, 604) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 64

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

LCM(2, 64) = 64

GCD(2, 64) = ( 2 x 64 ) / 64

GCD(2, 64) = 128 / 64

GCD(2, 64) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 694

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

LCM(2, 694) = 694

GCD(2, 694) = ( 2 x 694 ) / 694

GCD(2, 694) = 1388 / 694

GCD(2, 694) = 2

GCD of 478, 604, 64, 694 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 701, 736, 27, 429
• GCD of 391, 438, 67, 579
• GCD of 944, 405, 36, 302
• GCD of 259, 110, 37, 477
• GCD of 477, 945, 92, 150

1. What is the GCD of 478, 604, 64, 694?

GCD of 478, 604, 64, 694 is 2

2. Where do I get the detailed procedure to find GCD of 478, 604, 64, 694?

You can find a detailed procedure to find GCD of 478, 604, 64, 694 on our page.

3. How to find GCD of 478, 604, 64, 694 on a calculator?

You can find the GCD of 478, 604, 64, 694 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.