Where do I get the detailed procedure to find GCD of 598, 338, 147?

You can find a detailed procedure to find GCD of 598, 338, 147 on our page.

How to find GCD of 598, 338, 147 on a calculator?

You can find the GCD of 598, 338, 147 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 598, 338, 147 Calculator

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

Online GCD Calculator is useful to find the GCD of 598, 338, 147 quickly. Get the easiest ways to solve the greatest common divisor of 598, 338, 147 i.e 1 in different methods as follows.

How to Find GCD of Numbers 598, 338, 147 with Factoring?

Given Input numbers are 598, 338, 147

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

Divisors of 598 :

The positive integer divisors of 598 that completely divides 598 are.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

GCD of numbers is the greatest common divisor

So, the GCD (598, 338, 147) = 1.

Find GCD of 598, 338, 147 using Prime Factorization

Given numbers are 598, 338, 147

The list of prime factors of all numbers are

Prime factors of 598 are 2 x 13 x 23

Prime factors of 338 are 2 x 13 x 13

Prime factors of 147 are 3 x 7 x 7

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

Steps to Calculate GCD of 598, 338, 147 using LCM Formula

Given numbers are 598, 338, 147

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

Apply this formula for all numbers.

Step1:

LCM(598, 338) = 7774

GCD(598, 338) = ( 598 x 338 ) / 7774

= 598 / 338

= 598

Step2:

LCM(26, 147) = 3822

GCD(26, 147) = ( 26 x 147 ) / 3822

= 26 / 147

= 26

So, Greatest Common Divisor of 598, 338, 147 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 598, 338, 147

Given numbers are 598, 338, 147
The greatest common divisor of numbers 598, 338, 147 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 598, 338, 147 is 1.

FAQs on GCD of 598, 338, 147 Calculator

1. What is the GCD of 598, 338, 147?

GCD of given numbers 598, 338, 147 is 1

2. How to calculate the greatest common divisor of 598, 338, 147?

We can find the highest common divisor of 598, 338, 147 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 598, 338, 147 i.e 1.

3. How can I use the GCD of 598, 338, 147Calculator?

Out the numbers 598, 338, 147 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.