Where do I get the detailed procedure to find GCD of 172, 270, 692?

You can find a detailed procedure to find GCD of 172, 270, 692 on our page.

How to find GCD of 172, 270, 692 on a calculator?

You can find the GCD of 172, 270, 692 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 172, 270, 692 Calculator

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

Online GCD Calculator is useful to find the GCD of 172, 270, 692 quickly. Get the easiest ways to solve the greatest common divisor of 172, 270, 692 i.e 2 in different methods as follows.

How to Find GCD of Numbers 172, 270, 692 with Factoring?

Given Input numbers are 172, 270, 692

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

Divisors of 172 :

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

1, 2, 4, 43, 86, 172

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

GCD of numbers is the greatest common divisor

So, the GCD (172, 270, 692) = 2.

Find GCD of 172, 270, 692 using Prime Factorization

Given numbers are 172, 270, 692

The list of prime factors of all numbers are

Prime factors of 172 are 2 x 2 x 43

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 692 are 2 x 2 x 173

The highest common occurrence is 2¹

Therefore, GCD of 172, 270, 692 is 2.

Steps to Calculate GCD of 172, 270, 692 using LCM Formula

Given numbers are 172, 270, 692

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

Apply this formula for all numbers.

Step1:

LCM(172, 270) = 23220

GCD(172, 270) = ( 172 x 270 ) / 23220

= 172 / 270

= 172

Step2:

LCM(2, 692) = 692

GCD(2, 692) = ( 2 x 692 ) / 692

= 2 / 692

= 2

So, Greatest Common Divisor of 172, 270, 692 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 172, 270, 692

Given numbers are 172, 270, 692
The greatest common divisor of numbers 172, 270, 692 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 270, 692 is 2.

FAQs on GCD of 172, 270, 692 Calculator

1. What is the GCD of 172, 270, 692?

GCD of given numbers 172, 270, 692 is 2

2. How to calculate the greatest common divisor of 172, 270, 692?

We can find the highest common divisor of 172, 270, 692 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 172, 270, 692 i.e 2.

3. How can I use the GCD of 172, 270, 692Calculator?

Out the numbers 172, 270, 692 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.