Where do I get the detailed procedure to find GCD of 695, 205, 375?

You can find a detailed procedure to find GCD of 695, 205, 375 on our page.

How to find GCD of 695, 205, 375 on a calculator?

You can find the GCD of 695, 205, 375 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 695, 205, 375 Calculator

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

Online GCD Calculator is useful to find the GCD of 695, 205, 375 quickly. Get the easiest ways to solve the greatest common divisor of 695, 205, 375 i.e 5 in different methods as follows.

How to Find GCD of Numbers 695, 205, 375 with Factoring?

Given Input numbers are 695, 205, 375

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

Divisors of 695 :

The positive integer divisors of 695 that completely divides 695 are.

1, 5, 139, 695

Divisors of 205 :

The positive integer divisors of 205 that completely divides 205 are.

1, 5, 41, 205

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

GCD of numbers is the greatest common divisor

So, the GCD (695, 205, 375) = 5.

Find GCD of 695, 205, 375 using Prime Factorization

Given numbers are 695, 205, 375

The list of prime factors of all numbers are

Prime factors of 695 are 5 x 139

Prime factors of 205 are 5 x 41

Prime factors of 375 are 3 x 5 x 5 x 5

The highest common occurrence is 5¹

Therefore, GCD of 695, 205, 375 is 5.

Steps to Calculate GCD of 695, 205, 375 using LCM Formula

Given numbers are 695, 205, 375

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

Apply this formula for all numbers.

Step1:

LCM(695, 205) = 28495

GCD(695, 205) = ( 695 x 205 ) / 28495

= 695 / 205

= 695

Step2:

LCM(5, 375) = 375

GCD(5, 375) = ( 5 x 375 ) / 375

= 5 / 375

= 5

So, Greatest Common Divisor of 695, 205, 375 is 5

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 695, 205, 375

Given numbers are 695, 205, 375
The greatest common divisor of numbers 695, 205, 375 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 695, 205, 375 is 5.

FAQs on GCD of 695, 205, 375 Calculator

1. What is the GCD of 695, 205, 375?

GCD of given numbers 695, 205, 375 is 5

2. How to calculate the greatest common divisor of 695, 205, 375?

We can find the highest common divisor of 695, 205, 375 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 695, 205, 375 i.e 5.

3. How can I use the GCD of 695, 205, 375Calculator?

Out the numbers 695, 205, 375 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.