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GCD of 434, 500, 345 Calculator

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

Online GCD Calculator is useful to find the GCD of 434, 500, 345 quickly. Get the easiest ways to solve the greatest common divisor of 434, 500, 345 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 434, 500, 345 with Factoring?

Given Input numbers are 434, 500, 345

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

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345


GCD of numbers is the greatest common divisor

So, the GCD (434, 500, 345) = 1.

Find GCD of 434, 500, 345 using Prime Factorization

Given numbers are 434, 500, 345

The list of prime factors of all numbers are

Prime factors of 434 are 2 x 7 x 31

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 345 are 3 x 5 x 23

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

Steps to Calculate GCD of 434, 500, 345 using LCM Formula

Given numbers are 434, 500, 345

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

Apply this formula for all numbers.

Step1:

LCM(434, 500) = 108500

GCD(434, 500) = ( 434 x 500 ) / 108500

= 434 / 500

= 434

Step2:

LCM(2, 345) = 690

GCD(2, 345) = ( 2 x 345 ) / 690

= 2 / 345

= 2


So, Greatest Common Divisor of 434, 500, 345 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 434, 500, 345

Given numbers are 434, 500, 345
The greatest common divisor of numbers 434, 500, 345 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 434, 500, 345 is 1.

FAQs on GCD of 434, 500, 345 Calculator

1. What is the GCD of 434, 500, 345?

GCD of given numbers 434, 500, 345 is 1

2. How to calculate the greatest common divisor of 434, 500, 345?

We can find the highest common divisor of 434, 500, 345 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 434, 500, 345 i.e 1.

3. How can I use the GCD of 434, 500, 345Calculator?

Out the numbers 434, 500, 345 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.