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GCD of 858, 471, 360, 205 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, 471, 360, 205 quickly. Get the easiest ways to solve the greatest common divisor of 858, 471, 360, 205 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 858, 471, 360, 205 with Factoring?

Given Input numbers are 858, 471, 360, 205

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 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 205 :

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

1, 5, 41, 205


GCD of numbers is the greatest common divisor

So, the GCD (858, 471, 360, 205) = 1.

Find GCD of 858, 471, 360, 205 using Prime Factorization

Given numbers are 858, 471, 360, 205

The list of prime factors of all numbers are

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

Prime factors of 471 are 3 x 157

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 205 are 5 x 41

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

Steps to Calculate GCD of 858, 471, 360, 205 using LCM Formula

Given numbers are 858, 471, 360, 205

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

Apply this formula for all numbers.

Step1:

LCM(858, 471) = 134706

GCD(858, 471) = ( 858 x 471 ) / 134706

= 858 / 471

= 858


Step2:

LCM(3, 360) = 360

GCD(3, 360) = ( 3 x 360 ) / 360

= 3 / 360

= 3


Step3:

LCM(3, 205) = 615

GCD(3, 205) = ( 3 x 205 ) / 615

= 3 / 205

= 3


So, Greatest Common Divisor of 858, 471, 360, 205 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 858, 471, 360, 205

Given numbers are 858, 471, 360, 205
The greatest common divisor of numbers 858, 471, 360, 205 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 858, 471, 360, 205 is 1.

FAQs on GCD of 858, 471, 360, 205 Calculator

1. What is the GCD of 858, 471, 360, 205?

GCD of given numbers 858, 471, 360, 205 is 1


2. How to calculate the greatest common divisor of 858, 471, 360, 205?

We can find the highest common divisor of 858, 471, 360, 205 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, 471, 360, 205 i.e 1.


3. How can I use the GCD of 858, 471, 360, 205Calculator?

Out the numbers 858, 471, 360, 205 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.