Where do I get the detailed procedure to find GCD of 428, 105, 169?

You can find a detailed procedure to find GCD of 428, 105, 169 on our page.

How to find GCD of 428, 105, 169 on a calculator?

You can find the GCD of 428, 105, 169 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 428, 105, 169 Calculator

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

Online GCD Calculator is useful to find the GCD of 428, 105, 169 quickly. Get the easiest ways to solve the greatest common divisor of 428, 105, 169 i.e 1 in different methods as follows.

How to Find GCD of Numbers 428, 105, 169 with Factoring?

Given Input numbers are 428, 105, 169

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

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 169 :

The positive integer divisors of 169 that completely divides 169 are.

1, 13, 169

GCD of numbers is the greatest common divisor

So, the GCD (428, 105, 169) = 1.

Find GCD of 428, 105, 169 using Prime Factorization

Given numbers are 428, 105, 169

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 105 are 3 x 5 x 7

Prime factors of 169 are 13 x 13

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

Steps to Calculate GCD of 428, 105, 169 using LCM Formula

Given numbers are 428, 105, 169

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

Apply this formula for all numbers.

Step1:

LCM(428, 105) = 44940

GCD(428, 105) = ( 428 x 105 ) / 44940

= 428 / 105

= 428

Step2:

LCM(1, 169) = 169

GCD(1, 169) = ( 1 x 169 ) / 169

= 1 / 169

= 1

So, Greatest Common Divisor of 428, 105, 169 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 428, 105, 169

Given numbers are 428, 105, 169
The greatest common divisor of numbers 428, 105, 169 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 105, 169 is 1.

FAQs on GCD of 428, 105, 169 Calculator

1. What is the GCD of 428, 105, 169?

GCD of given numbers 428, 105, 169 is 1

2. How to calculate the greatest common divisor of 428, 105, 169?

We can find the highest common divisor of 428, 105, 169 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 428, 105, 169 i.e 1.

3. How can I use the GCD of 428, 105, 169Calculator?

Out the numbers 428, 105, 169 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.