GCD of 630, 170, 32, 416 Calculator

Given Input numbers are 630, 170, 32, 416

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

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Greatest Common Divisior

We found the divisors of 630, 170, 32, 416 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 630, 170, 32, 416 is 2.

Therefore, GCD of numbers 630, 170, 32, 416 is 2

Given Input Data is 630, 170, 32, 416

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

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

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(630, 170) = 10710

GCD(630, 170) = ( 630 x 170 ) / 10710

GCD(630, 170) = 107100 / 10710

GCD(630, 170) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 32

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

LCM(10, 32) = 160

GCD(10, 32) = ( 10 x 32 ) / 160

GCD(10, 32) = 320 / 160

GCD(10, 32) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 416

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

LCM(2, 416) = 416

GCD(2, 416) = ( 2 x 416 ) / 416

GCD(2, 416) = 832 / 416

GCD(2, 416) = 2

GCD of 630, 170, 32, 416 is 2

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• GCD of 512, 991, 57, 532
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• GCD of 438, 608, 91, 360

1. What is the GCD of 630, 170, 32, 416?

GCD of 630, 170, 32, 416 is 2

2. Where do I get the detailed procedure to find GCD of 630, 170, 32, 416?

You can find a detailed procedure to find GCD of 630, 170, 32, 416 on our page.

3. How to find GCD of 630, 170, 32, 416 on a calculator?

You can find the GCD of 630, 170, 32, 416 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.