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GCD of 825, 858, 618, 813 Calculator

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


Online GCD Calculator is useful to find the GCD of 825, 858, 618, 813 quickly. Get the easiest ways to solve the greatest common divisor of 825, 858, 618, 813 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 825, 858, 618, 813 with Factoring?

Given Input numbers are 825, 858, 618, 813

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

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

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 618 :

The positive integer divisors of 618 that completely divides 618 are.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 813 :

The positive integer divisors of 813 that completely divides 813 are.

1, 3, 271, 813


GCD of numbers is the greatest common divisor

So, the GCD (825, 858, 618, 813) = 3.

Find GCD of 825, 858, 618, 813 using Prime Factorization

Given numbers are 825, 858, 618, 813

The list of prime factors of all numbers are

Prime factors of 825 are 3 x 5 x 5 x 11

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

Prime factors of 618 are 2 x 3 x 103

Prime factors of 813 are 3 x 271

The highest common occurrence is 31

Therefore, GCD of 825, 858, 618, 813 is 3.

Steps to Calculate GCD of 825, 858, 618, 813 using LCM Formula

Given numbers are 825, 858, 618, 813

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

Apply this formula for all numbers.

Step1:

LCM(825, 858) = 21450

GCD(825, 858) = ( 825 x 858 ) / 21450

= 825 / 858

= 825


Step2:

LCM(33, 618) = 6798

GCD(33, 618) = ( 33 x 618 ) / 6798

= 33 / 618

= 33


Step3:

LCM(3, 813) = 813

GCD(3, 813) = ( 3 x 813 ) / 813

= 3 / 813

= 3


So, Greatest Common Divisor of 825, 858, 618, 813 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 825, 858, 618, 813

Given numbers are 825, 858, 618, 813
The greatest common divisor of numbers 825, 858, 618, 813 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 858, 618, 813 is 3.

FAQs on GCD of 825, 858, 618, 813 Calculator

1. What is the GCD of 825, 858, 618, 813?

GCD of given numbers 825, 858, 618, 813 is 3


2. How to calculate the greatest common divisor of 825, 858, 618, 813?

We can find the highest common divisor of 825, 858, 618, 813 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 825, 858, 618, 813 i.e 3.


3. How can I use the GCD of 825, 858, 618, 813Calculator?

Out the numbers 825, 858, 618, 813 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.