GCD of 372, 670, 408, 392 Calculator

Given Input numbers are 372, 670, 408, 392

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

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Greatest Common Divisior

We found the divisors of 372, 670, 408, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 372, 670, 408, 392 is 2.

Therefore, GCD of numbers 372, 670, 408, 392 is 2

Given Input Data is 372, 670, 408, 392

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

Prime Factorization of 372 is 2 x 2 x 3 x 31

Prime Factorization of 670 is 2 x 5 x 67

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 392 is 2 x 2 x 2 x 7 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(372, 670) = 124620

GCD(372, 670) = ( 372 x 670 ) / 124620

GCD(372, 670) = 249240 / 124620

GCD(372, 670) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 408

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

LCM(2, 408) = 408

GCD(2, 408) = ( 2 x 408 ) / 408

GCD(2, 408) = 816 / 408

GCD(2, 408) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 392

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

LCM(2, 392) = 392

GCD(2, 392) = ( 2 x 392 ) / 392

GCD(2, 392) = 784 / 392

GCD(2, 392) = 2

GCD of 372, 670, 408, 392 is 2

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1. What is the GCD of 372, 670, 408, 392?

GCD of 372, 670, 408, 392 is 2

2. Where do I get the detailed procedure to find GCD of 372, 670, 408, 392?

You can find a detailed procedure to find GCD of 372, 670, 408, 392 on our page.

3. How to find GCD of 372, 670, 408, 392 on a calculator?

You can find the GCD of 372, 670, 408, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.