Where do I get the detailed procedure to find GCD of 374, 918, 172?

You can find a detailed procedure to find GCD of 374, 918, 172 on our page.

How to find GCD of 374, 918, 172 on a calculator?

You can find the GCD of 374, 918, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 374, 918, 172 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Online GCD Calculator is useful to find the GCD of 374, 918, 172 quickly. Get the easiest ways to solve the greatest common divisor of 374, 918, 172 i.e 2 in different methods as follows.

How to Find GCD of Numbers 374, 918, 172 with Factoring?

Given Input numbers are 374, 918, 172

In the factoring method, we have to find the divisors of all numbers

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

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

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

GCD of numbers is the greatest common divisor

So, the GCD (374, 918, 172) = 2.

Find GCD of 374, 918, 172 using Prime Factorization

Given numbers are 374, 918, 172

The list of prime factors of all numbers are

Prime factors of 374 are 2 x 11 x 17

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 172 are 2 x 2 x 43

The highest common occurrence is 2¹

Therefore, GCD of 374, 918, 172 is 2.

Steps to Calculate GCD of 374, 918, 172 using LCM Formula

Given numbers are 374, 918, 172

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(374, 918) = 10098

GCD(374, 918) = ( 374 x 918 ) / 10098

= 374 / 918

= 374

Step2:

LCM(34, 172) = 2924

GCD(34, 172) = ( 34 x 172 ) / 2924

= 34 / 172

= 34

So, Greatest Common Divisor of 374, 918, 172 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 374, 918, 172

Given numbers are 374, 918, 172
The greatest common divisor of numbers 374, 918, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 374, 918, 172 is 2.

FAQs on GCD of 374, 918, 172 Calculator

1. What is the GCD of 374, 918, 172?

GCD of given numbers 374, 918, 172 is 2

2. How to calculate the greatest common divisor of 374, 918, 172?

We can find the highest common divisor of 374, 918, 172 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 374, 918, 172 i.e 2.

3. How can I use the GCD of 374, 918, 172Calculator?

Out the numbers 374, 918, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.