GCD of 736, 948, 168 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 736, 948, 168 i.e. 4 largest integer that divides all the numbers equally.

GCD of 736, 948, 168 is 4

GCD(736, 948, 168) = 4

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

GCD of

GCD of numbers 736, 948, 168 is 4

GCD(736, 948, 168) = 4

GCD of 736,948,168 Calculator

GCDof 736,948,168 is 4

Given Input numbers are 736, 948, 168

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

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Greatest Common Divisior

We found the divisors of 736, 948, 168 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 948, 168 is 4.

Therefore, GCD of numbers 736, 948, 168 is 4

Finding GCD of 736, 948, 168 using Prime Factorization

Given Input Data is 736, 948, 168

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

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Highest common occurrences in the given inputs are 22

Multiplying them we get the GCD as 4

Finding GCD of 736, 948, 168 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(736, 948) = 174432

GCD(736, 948) = ( 736 x 948 ) / 174432

GCD(736, 948) = 697728 / 174432

GCD(736, 948) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 168

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

LCM(4, 168) = 168

GCD(4, 168) = ( 4 x 168 ) / 168

GCD(4, 168) = 672 / 168

GCD(4, 168) = 4

GCD of 736, 948, 168 is 4

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 736, 948, 168

1. What is the GCD of 736, 948, 168?

GCD of 736, 948, 168 is 4


2. Where do I get the detailed procedure to find GCD of 736, 948, 168?

You can find a detailed procedure to find GCD of 736, 948, 168 on our page.


3. How to find GCD of 736, 948, 168 on a calculator?

You can find the GCD of 736, 948, 168 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.