GCD of 145, 938, 55, 342 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 145, 938, 55, 342 i.e. 1 largest integer that divides all the numbers equally.

GCD of 145, 938, 55, 342 is 1

GCD(145, 938, 55, 342) = 1

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

GCD of

GCD of numbers 145, 938, 55, 342 is 1

GCD(145, 938, 55, 342) = 1

GCD of 145,938,55,342 Calculator

GCDof 145,938,55,342 is 1

Given Input numbers are 145, 938, 55, 342

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

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 145, 938, 55, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 145, 938, 55, 342 is 1.

Therefore, GCD of numbers 145, 938, 55, 342 is 1

Finding GCD of 145, 938, 55, 342 using Prime Factorization

Given Input Data is 145, 938, 55, 342

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

Prime Factorization of 145 is 5 x 29

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 55 is 5 x 11

Prime Factorization of 342 is 2 x 3 x 3 x 19

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

Finding GCD of 145, 938, 55, 342 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(145, 938) = 136010

GCD(145, 938) = ( 145 x 938 ) / 136010

GCD(145, 938) = 136010 / 136010

GCD(145, 938) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 55

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

LCM(1, 55) = 55

GCD(1, 55) = ( 1 x 55 ) / 55

GCD(1, 55) = 55 / 55

GCD(1, 55) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 342

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

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

GCD of 145, 938, 55, 342 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 145, 938, 55, 342

1. What is the GCD of 145, 938, 55, 342?

GCD of 145, 938, 55, 342 is 1


2. Where do I get the detailed procedure to find GCD of 145, 938, 55, 342?

You can find a detailed procedure to find GCD of 145, 938, 55, 342 on our page.


3. How to find GCD of 145, 938, 55, 342 on a calculator?

You can find the GCD of 145, 938, 55, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.