GCD of 644, 952, 94, 994 Calculator

Given Input numbers are 644, 952, 94, 994

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

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 94

List of positive integer divisors of 94 that divides 94 without a remainder.

1, 2, 47, 94

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 644, 952, 94, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 644, 952, 94, 994 is 2.

Therefore, GCD of numbers 644, 952, 94, 994 is 2

Given Input Data is 644, 952, 94, 994

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

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 94 is 2 x 47

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(644, 952) = 21896

GCD(644, 952) = ( 644 x 952 ) / 21896

GCD(644, 952) = 613088 / 21896

GCD(644, 952) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 94

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

LCM(28, 94) = 1316

GCD(28, 94) = ( 28 x 94 ) / 1316

GCD(28, 94) = 2632 / 1316

GCD(28, 94) = 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 644, 952, 94, 994 is 2

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1. What is the GCD of 644, 952, 94, 994?

GCD of 644, 952, 94, 994 is 2

2. Where do I get the detailed procedure to find GCD of 644, 952, 94, 994?

You can find a detailed procedure to find GCD of 644, 952, 94, 994 on our page.

3. How to find GCD of 644, 952, 94, 994 on a calculator?

You can find the GCD of 644, 952, 94, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.