GCD of 372, 668, 738, 343 Calculator

Given Input numbers are 372, 668, 738, 343

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 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Greatest Common Divisior

We found the divisors of 372, 668, 738, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 372, 668, 738, 343 is 1.

Therefore, GCD of numbers 372, 668, 738, 343 is 1

Given Input Data is 372, 668, 738, 343

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 668 is 2 x 2 x 167

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 343 is 7 x 7 x 7

The above numbers do not have any common prime factor. So GCD is 1

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, 668) = 62124

GCD(372, 668) = ( 372 x 668 ) / 62124

GCD(372, 668) = 248496 / 62124

GCD(372, 668) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 738

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

LCM(4, 738) = 1476

GCD(4, 738) = ( 4 x 738 ) / 1476

GCD(4, 738) = 2952 / 1476

GCD(4, 738) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 343

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

LCM(2, 343) = 686

GCD(2, 343) = ( 2 x 343 ) / 686

GCD(2, 343) = 686 / 686

GCD(2, 343) = 1

GCD of 372, 668, 738, 343 is 1

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1. What is the GCD of 372, 668, 738, 343?

GCD of 372, 668, 738, 343 is 1

2. Where do I get the detailed procedure to find GCD of 372, 668, 738, 343?

You can find a detailed procedure to find GCD of 372, 668, 738, 343 on our page.

3. How to find GCD of 372, 668, 738, 343 on a calculator?

You can find the GCD of 372, 668, 738, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.