GCD of 30, 552, 632, 892 Calculator

Given Input numbers are 30, 552, 632, 892

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 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Greatest Common Divisior

We found the divisors of 30, 552, 632, 892 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 552, 632, 892 is 2.

Therefore, GCD of numbers 30, 552, 632, 892 is 2

Given Input Data is 30, 552, 632, 892

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 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 632 is 2 x 2 x 2 x 79

Prime Factorization of 892 is 2 x 2 x 223

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(30, 552) = 2760

GCD(30, 552) = ( 30 x 552 ) / 2760

GCD(30, 552) = 16560 / 2760

GCD(30, 552) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 632

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

LCM(6, 632) = 1896

GCD(6, 632) = ( 6 x 632 ) / 1896

GCD(6, 632) = 3792 / 1896

GCD(6, 632) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 892

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

LCM(2, 892) = 892

GCD(2, 892) = ( 2 x 892 ) / 892

GCD(2, 892) = 1784 / 892

GCD(2, 892) = 2

GCD of 30, 552, 632, 892 is 2

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1. What is the GCD of 30, 552, 632, 892?

GCD of 30, 552, 632, 892 is 2

2. Where do I get the detailed procedure to find GCD of 30, 552, 632, 892?

You can find a detailed procedure to find GCD of 30, 552, 632, 892 on our page.

3. How to find GCD of 30, 552, 632, 892 on a calculator?

You can find the GCD of 30, 552, 632, 892 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.