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GCD of 858, 416, 325 Calculator

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


Online GCD Calculator is useful to find the GCD of 858, 416, 325 quickly. Get the easiest ways to solve the greatest common divisor of 858, 416, 325 i.e 13 in different methods as follows.

GCD of

How to Find GCD of Numbers 858, 416, 325 with Factoring?

Given Input numbers are 858, 416, 325

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

Divisors of 858 :

The positive integer divisors of 858 that completely divides 858 are.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 416 :

The positive integer divisors of 416 that completely divides 416 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 325 :

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

1, 5, 13, 25, 65, 325


GCD of numbers is the greatest common divisor

So, the GCD (858, 416, 325) = 13.

Find GCD of 858, 416, 325 using Prime Factorization

Given numbers are 858, 416, 325

The list of prime factors of all numbers are

Prime factors of 858 are 2 x 3 x 11 x 13

Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 325 are 5 x 5 x 13

The highest common occurrence is 131

Therefore, GCD of 858, 416, 325 is 13.

Steps to Calculate GCD of 858, 416, 325 using LCM Formula

Given numbers are 858, 416, 325

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

Apply this formula for all numbers.

Step1:

LCM(858, 416) = 13728

GCD(858, 416) = ( 858 x 416 ) / 13728

= 858 / 416

= 858


Step2:

LCM(26, 325) = 650

GCD(26, 325) = ( 26 x 325 ) / 650

= 26 / 325

= 26


So, Greatest Common Divisor of 858, 416, 325 is 13

GCD of Numbers Calculation Examples

Greatest Common Divisor of 858, 416, 325

Given numbers are 858, 416, 325
The greatest common divisor of numbers 858, 416, 325 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 858, 416, 325 is 13.

FAQs on GCD of 858, 416, 325 Calculator

1. What is the GCD of 858, 416, 325?

GCD of given numbers 858, 416, 325 is 13


2. How to calculate the greatest common divisor of 858, 416, 325?

We can find the highest common divisor of 858, 416, 325 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 858, 416, 325 i.e 13.


3. How can I use the GCD of 858, 416, 325Calculator?

Out the numbers 858, 416, 325 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.