GCD of 370, 222, 460 Calculator

Given Input numbers are 370, 222, 460

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

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Greatest Common Divisior

We found the divisors of 370, 222, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 222, 460 is 2.

Therefore, GCD of numbers 370, 222, 460 is 2

Given Input Data is 370, 222, 460

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

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 222 is 2 x 3 x 37

Prime Factorization of 460 is 2 x 2 x 5 x 23

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(370, 222) = 1110

GCD(370, 222) = ( 370 x 222 ) / 1110

GCD(370, 222) = 82140 / 1110

GCD(370, 222) = 74

Step2:

Here we consider the GCD from the above i.e. 74 as first number and the next as 460

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

LCM(74, 460) = 17020

GCD(74, 460) = ( 74 x 460 ) / 17020

GCD(74, 460) = 34040 / 17020

GCD(74, 460) = 2

GCD of 370, 222, 460 is 2

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• GCD of 326, 902, 453
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1. What is the GCD of 370, 222, 460?

GCD of 370, 222, 460 is 2

2. Where do I get the detailed procedure to find GCD of 370, 222, 460?

You can find a detailed procedure to find GCD of 370, 222, 460 on our page.

3. How to find GCD of 370, 222, 460 on a calculator?

You can find the GCD of 370, 222, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.