GCD of 30, 672, 212, 269 Calculator

Given Input numbers are 30, 672, 212, 269

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

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 212

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

1, 2, 4, 53, 106, 212

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Greatest Common Divisior

We found the divisors of 30, 672, 212, 269 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 672, 212, 269 is 1.

Therefore, GCD of numbers 30, 672, 212, 269 is 1

Given Input Data is 30, 672, 212, 269

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

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 269 is 269

The above numbers do not have any common prime factor. So GCD is 1

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(30, 672) = 3360

GCD(30, 672) = ( 30 x 672 ) / 3360

GCD(30, 672) = 20160 / 3360

GCD(30, 672) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 212

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

LCM(6, 212) = 636

GCD(6, 212) = ( 6 x 212 ) / 636

GCD(6, 212) = 1272 / 636

GCD(6, 212) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 269

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

LCM(2, 269) = 538

GCD(2, 269) = ( 2 x 269 ) / 538

GCD(2, 269) = 538 / 538

GCD(2, 269) = 1

GCD of 30, 672, 212, 269 is 1

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• GCD of 78, 734, 133, 763
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1. What is the GCD of 30, 672, 212, 269?

GCD of 30, 672, 212, 269 is 1

2. Where do I get the detailed procedure to find GCD of 30, 672, 212, 269?

You can find a detailed procedure to find GCD of 30, 672, 212, 269 on our page.

3. How to find GCD of 30, 672, 212, 269 on a calculator?

You can find the GCD of 30, 672, 212, 269 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.