Where do I get the detailed procedure to find GCD of 435, 348, 145?

You can find a detailed procedure to find GCD of 435, 348, 145 on our page.

How to find GCD of 435, 348, 145 on a calculator?

You can find the GCD of 435, 348, 145 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 435, 348, 145 Calculator

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

Online GCD Calculator is useful to find the GCD of 435, 348, 145 quickly. Get the easiest ways to solve the greatest common divisor of 435, 348, 145 i.e 29 in different methods as follows.

How to Find GCD of Numbers 435, 348, 145 with Factoring?

Given Input numbers are 435, 348, 145

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

Divisors of 435 :

The positive integer divisors of 435 that completely divides 435 are.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 145 :

The positive integer divisors of 145 that completely divides 145 are.

1, 5, 29, 145

GCD of numbers is the greatest common divisor

So, the GCD (435, 348, 145) = 29.

Find GCD of 435, 348, 145 using Prime Factorization

Given numbers are 435, 348, 145

The list of prime factors of all numbers are

Prime factors of 435 are 3 x 5 x 29

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 145 are 5 x 29

The highest common occurrence is 29¹

Therefore, GCD of 435, 348, 145 is 29.

Steps to Calculate GCD of 435, 348, 145 using LCM Formula

Given numbers are 435, 348, 145

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

Apply this formula for all numbers.

Step1:

LCM(435, 348) = 1740

GCD(435, 348) = ( 435 x 348 ) / 1740

= 435 / 348

= 435

Step2:

LCM(87, 145) = 435

GCD(87, 145) = ( 87 x 145 ) / 435

= 87 / 145

= 87

So, Greatest Common Divisor of 435, 348, 145 is 29

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 435, 348, 145

Given numbers are 435, 348, 145
The greatest common divisor of numbers 435, 348, 145 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 435, 348, 145 is 29.

FAQs on GCD of 435, 348, 145 Calculator

1. What is the GCD of 435, 348, 145?

GCD of given numbers 435, 348, 145 is 29

2. How to calculate the greatest common divisor of 435, 348, 145?

We can find the highest common divisor of 435, 348, 145 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 435, 348, 145 i.e 29.

3. How can I use the GCD of 435, 348, 145Calculator?

Out the numbers 435, 348, 145 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.