GCD of 153, 925, 14, 374 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 153, 925, 14, 374 i.e. 1 largest integer that divides all the numbers equally.

GCD of 153, 925, 14, 374 is 1

GCD(153, 925, 14, 374) = 1

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

GCD of

GCD of numbers 153, 925, 14, 374 is 1

GCD(153, 925, 14, 374) = 1

GCD of 153,925,14,374 Calculator

GCDof 153,925,14,374 is 1

Given Input numbers are 153, 925, 14, 374

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

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Greatest Common Divisior

We found the divisors of 153, 925, 14, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 153, 925, 14, 374 is 1.

Therefore, GCD of numbers 153, 925, 14, 374 is 1

Finding GCD of 153, 925, 14, 374 using Prime Factorization

Given Input Data is 153, 925, 14, 374

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

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 925 is 5 x 5 x 37

Prime Factorization of 14 is 2 x 7

Prime Factorization of 374 is 2 x 11 x 17

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

Finding GCD of 153, 925, 14, 374 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(153, 925) = 141525

GCD(153, 925) = ( 153 x 925 ) / 141525

GCD(153, 925) = 141525 / 141525

GCD(153, 925) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 374

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

LCM(1, 374) = 374

GCD(1, 374) = ( 1 x 374 ) / 374

GCD(1, 374) = 374 / 374

GCD(1, 374) = 1

GCD of 153, 925, 14, 374 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 153, 925, 14, 374

1. What is the GCD of 153, 925, 14, 374?

GCD of 153, 925, 14, 374 is 1


2. Where do I get the detailed procedure to find GCD of 153, 925, 14, 374?

You can find a detailed procedure to find GCD of 153, 925, 14, 374 on our page.


3. How to find GCD of 153, 925, 14, 374 on a calculator?

You can find the GCD of 153, 925, 14, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.