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GCD of 475, 325, 725, 855 Calculator

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


Online GCD Calculator is useful to find the GCD of 475, 325, 725, 855 quickly. Get the easiest ways to solve the greatest common divisor of 475, 325, 725, 855 i.e 5 in different methods as follows.

GCD of

How to Find GCD of Numbers 475, 325, 725, 855 with Factoring?

Given Input numbers are 475, 325, 725, 855

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

Divisors of 475 :

The positive integer divisors of 475 that completely divides 475 are.

1, 5, 19, 25, 95, 475

Divisors of 325 :

The positive integer divisors of 325 that completely divides 325 are.

1, 5, 13, 25, 65, 325

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

Divisors of 855 :

The positive integer divisors of 855 that completely divides 855 are.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855


GCD of numbers is the greatest common divisor

So, the GCD (475, 325, 725, 855) = 5.

Find GCD of 475, 325, 725, 855 using Prime Factorization

Given numbers are 475, 325, 725, 855

The list of prime factors of all numbers are

Prime factors of 475 are 5 x 5 x 19

Prime factors of 325 are 5 x 5 x 13

Prime factors of 725 are 5 x 5 x 29

Prime factors of 855 are 3 x 3 x 5 x 19

The highest common occurrence is 51

Therefore, GCD of 475, 325, 725, 855 is 5.

Steps to Calculate GCD of 475, 325, 725, 855 using LCM Formula

Given numbers are 475, 325, 725, 855

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

Apply this formula for all numbers.

Step1:

LCM(475, 325) = 6175

GCD(475, 325) = ( 475 x 325 ) / 6175

= 475 / 325

= 475


Step2:

LCM(25, 725) = 725

GCD(25, 725) = ( 25 x 725 ) / 725

= 25 / 725

= 25


Step3:

LCM(25, 855) = 4275

GCD(25, 855) = ( 25 x 855 ) / 4275

= 25 / 855

= 25


So, Greatest Common Divisor of 475, 325, 725, 855 is 5

GCD of Numbers Calculation Examples

Greatest Common Divisor of 475, 325, 725, 855

Given numbers are 475, 325, 725, 855
The greatest common divisor of numbers 475, 325, 725, 855 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 475, 325, 725, 855 is 5.

FAQs on GCD of 475, 325, 725, 855 Calculator

1. What is the GCD of 475, 325, 725, 855?

GCD of given numbers 475, 325, 725, 855 is 5


2. How to calculate the greatest common divisor of 475, 325, 725, 855?

We can find the highest common divisor of 475, 325, 725, 855 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 475, 325, 725, 855 i.e 5.


3. How can I use the GCD of 475, 325, 725, 855Calculator?

Out the numbers 475, 325, 725, 855 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.