GCD of 634, 960, 212, 544 Calculator

Given Input numbers are 634, 960, 212, 544

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

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Greatest Common Divisior

We found the divisors of 634, 960, 212, 544 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 634, 960, 212, 544 is 2.

Therefore, GCD of numbers 634, 960, 212, 544 is 2

Given Input Data is 634, 960, 212, 544

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

Prime Factorization of 634 is 2 x 317

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

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(634, 960) = 304320

GCD(634, 960) = ( 634 x 960 ) / 304320

GCD(634, 960) = 608640 / 304320

GCD(634, 960) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 212

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

LCM(2, 212) = 212

GCD(2, 212) = ( 2 x 212 ) / 212

GCD(2, 212) = 424 / 212

GCD(2, 212) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 544

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

LCM(2, 544) = 544

GCD(2, 544) = ( 2 x 544 ) / 544

GCD(2, 544) = 1088 / 544

GCD(2, 544) = 2

GCD of 634, 960, 212, 544 is 2

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1. What is the GCD of 634, 960, 212, 544?

GCD of 634, 960, 212, 544 is 2

2. Where do I get the detailed procedure to find GCD of 634, 960, 212, 544?

You can find a detailed procedure to find GCD of 634, 960, 212, 544 on our page.

3. How to find GCD of 634, 960, 212, 544 on a calculator?

You can find the GCD of 634, 960, 212, 544 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.