GCD of 423, 148, 196, 672 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 423, 148, 196, 672 i.e. 1 largest integer that divides all the numbers equally.

GCD of 423, 148, 196, 672 is 1

GCD(423, 148, 196, 672) = 1

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

GCD of

GCD of numbers 423, 148, 196, 672 is 1

GCD(423, 148, 196, 672) = 1

GCD of 423,148,196,672 Calculator

GCDof 423,148,196,672 is 1

Given Input numbers are 423, 148, 196, 672

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

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Greatest Common Divisior

We found the divisors of 423, 148, 196, 672 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 423, 148, 196, 672 is 1.

Therefore, GCD of numbers 423, 148, 196, 672 is 1

Finding GCD of 423, 148, 196, 672 using Prime Factorization

Given Input Data is 423, 148, 196, 672

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

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

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

Finding GCD of 423, 148, 196, 672 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(423, 148) = 62604

GCD(423, 148) = ( 423 x 148 ) / 62604

GCD(423, 148) = 62604 / 62604

GCD(423, 148) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 196

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

LCM(1, 196) = 196

GCD(1, 196) = ( 1 x 196 ) / 196

GCD(1, 196) = 196 / 196

GCD(1, 196) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 672

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

LCM(1, 672) = 672

GCD(1, 672) = ( 1 x 672 ) / 672

GCD(1, 672) = 672 / 672

GCD(1, 672) = 1

GCD of 423, 148, 196, 672 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 423, 148, 196, 672

1. What is the GCD of 423, 148, 196, 672?

GCD of 423, 148, 196, 672 is 1


2. Where do I get the detailed procedure to find GCD of 423, 148, 196, 672?

You can find a detailed procedure to find GCD of 423, 148, 196, 672 on our page.


3. How to find GCD of 423, 148, 196, 672 on a calculator?

You can find the GCD of 423, 148, 196, 672 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.