GCD of 356, 452, 30, 348 Calculator

Given Input numbers are 356, 452, 30, 348

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

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

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 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Greatest Common Divisior

We found the divisors of 356, 452, 30, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 452, 30, 348 is 2.

Therefore, GCD of numbers 356, 452, 30, 348 is 2

Given Input Data is 356, 452, 30, 348

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

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 452 is 2 x 2 x 113

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 348 is 2 x 2 x 3 x 29

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(356, 452) = 40228

GCD(356, 452) = ( 356 x 452 ) / 40228

GCD(356, 452) = 160912 / 40228

GCD(356, 452) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 30

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

LCM(4, 30) = 60

GCD(4, 30) = ( 4 x 30 ) / 60

GCD(4, 30) = 120 / 60

GCD(4, 30) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 348

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

LCM(2, 348) = 348

GCD(2, 348) = ( 2 x 348 ) / 348

GCD(2, 348) = 696 / 348

GCD(2, 348) = 2

GCD of 356, 452, 30, 348 is 2

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• GCD of 182, 223, 63, 827
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• GCD of 528, 732, 84, 990

1. What is the GCD of 356, 452, 30, 348?

GCD of 356, 452, 30, 348 is 2

2. Where do I get the detailed procedure to find GCD of 356, 452, 30, 348?

You can find a detailed procedure to find GCD of 356, 452, 30, 348 on our page.

3. How to find GCD of 356, 452, 30, 348 on a calculator?

You can find the GCD of 356, 452, 30, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.