GCD of 646, 702, 476, 994 Calculator

Given Input numbers are 646, 702, 476, 994

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

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Greatest Common Divisior

We found the divisors of 646, 702, 476, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 646, 702, 476, 994 is 2.

Therefore, GCD of numbers 646, 702, 476, 994 is 2

Given Input Data is 646, 702, 476, 994

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

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 476 is 2 x 2 x 7 x 17

Prime Factorization of 994 is 2 x 7 x 71

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(646, 702) = 226746

GCD(646, 702) = ( 646 x 702 ) / 226746

GCD(646, 702) = 453492 / 226746

GCD(646, 702) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 476

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

LCM(2, 476) = 476

GCD(2, 476) = ( 2 x 476 ) / 476

GCD(2, 476) = 952 / 476

GCD(2, 476) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 994

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

LCM(2, 994) = 994

GCD(2, 994) = ( 2 x 994 ) / 994

GCD(2, 994) = 1988 / 994

GCD(2, 994) = 2

GCD of 646, 702, 476, 994 is 2

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1. What is the GCD of 646, 702, 476, 994?

GCD of 646, 702, 476, 994 is 2

2. Where do I get the detailed procedure to find GCD of 646, 702, 476, 994?

You can find a detailed procedure to find GCD of 646, 702, 476, 994 on our page.

3. How to find GCD of 646, 702, 476, 994 on a calculator?

You can find the GCD of 646, 702, 476, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.