GCD of 334, 942, 37, 378 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 334, 942, 37, 378 i.e. 1 largest integer that divides all the numbers equally.

GCD of 334, 942, 37, 378 is 1

GCD(334, 942, 37, 378) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 334, 942, 37, 378 is 1

GCD(334, 942, 37, 378) = 1

GCD of 334,942,37,378 Calculator

GCDof 334,942,37,378 is 1

Given Input numbers are 334, 942, 37, 378

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

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Greatest Common Divisior

We found the divisors of 334, 942, 37, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 334, 942, 37, 378 is 1.

Therefore, GCD of numbers 334, 942, 37, 378 is 1

Finding GCD of 334, 942, 37, 378 using Prime Factorization

Given Input Data is 334, 942, 37, 378

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

Prime Factorization of 334 is 2 x 167

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 37 is 37

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

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

Finding GCD of 334, 942, 37, 378 using LCM Formula

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(334, 942) = 157314

GCD(334, 942) = ( 334 x 942 ) / 157314

GCD(334, 942) = 314628 / 157314

GCD(334, 942) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 37

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

LCM(2, 37) = 74

GCD(2, 37) = ( 2 x 37 ) / 74

GCD(2, 37) = 74 / 74

GCD(2, 37) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 378

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

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

GCD(1, 378) = 378 / 378

GCD(1, 378) = 1

GCD of 334, 942, 37, 378 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 334, 942, 37, 378

1. What is the GCD of 334, 942, 37, 378?

GCD of 334, 942, 37, 378 is 1


2. Where do I get the detailed procedure to find GCD of 334, 942, 37, 378?

You can find a detailed procedure to find GCD of 334, 942, 37, 378 on our page.


3. How to find GCD of 334, 942, 37, 378 on a calculator?

You can find the GCD of 334, 942, 37, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.