GCD of 360, 292, 182, 210 Calculator

Given Input numbers are 360, 292, 182, 210

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

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Greatest Common Divisior

We found the divisors of 360, 292, 182, 210 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 292, 182, 210 is 2.

Therefore, GCD of numbers 360, 292, 182, 210 is 2

Given Input Data is 360, 292, 182, 210

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

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 210 is 2 x 3 x 5 x 7

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(360, 292) = 26280

GCD(360, 292) = ( 360 x 292 ) / 26280

GCD(360, 292) = 105120 / 26280

GCD(360, 292) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 182

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

LCM(4, 182) = 364

GCD(4, 182) = ( 4 x 182 ) / 364

GCD(4, 182) = 728 / 364

GCD(4, 182) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 210

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

LCM(2, 210) = 210

GCD(2, 210) = ( 2 x 210 ) / 210

GCD(2, 210) = 420 / 210

GCD(2, 210) = 2

GCD of 360, 292, 182, 210 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 919, 214, 763, 952
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• GCD of 788, 140, 378, 253
• GCD of 209, 333, 462, 278

1. What is the GCD of 360, 292, 182, 210?

GCD of 360, 292, 182, 210 is 2

2. Where do I get the detailed procedure to find GCD of 360, 292, 182, 210?

You can find a detailed procedure to find GCD of 360, 292, 182, 210 on our page.

3. How to find GCD of 360, 292, 182, 210 on a calculator?

You can find the GCD of 360, 292, 182, 210 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.