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GCD of 465, 585, 99, 862 Calculator

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


Online GCD Calculator is useful to find the GCD of 465, 585, 99, 862 quickly. Get the easiest ways to solve the greatest common divisor of 465, 585, 99, 862 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 465, 585, 99, 862 with Factoring?

Given Input numbers are 465, 585, 99, 862

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

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 99 :

The positive integer divisors of 99 that completely divides 99 are.

1, 3, 9, 11, 33, 99

Divisors of 862 :

The positive integer divisors of 862 that completely divides 862 are.

1, 2, 431, 862


GCD of numbers is the greatest common divisor

So, the GCD (465, 585, 99, 862) = 1.

Find GCD of 465, 585, 99, 862 using Prime Factorization

Given numbers are 465, 585, 99, 862

The list of prime factors of all numbers are

Prime factors of 465 are 3 x 5 x 31

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 99 are 3 x 3 x 11

Prime factors of 862 are 2 x 431

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

Steps to Calculate GCD of 465, 585, 99, 862 using LCM Formula

Given numbers are 465, 585, 99, 862

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

Apply this formula for all numbers.

Step1:

LCM(465, 585) = 18135

GCD(465, 585) = ( 465 x 585 ) / 18135

= 465 / 585

= 465


Step2:

LCM(15, 99) = 495

GCD(15, 99) = ( 15 x 99 ) / 495

= 15 / 99

= 15


Step3:

LCM(3, 862) = 2586

GCD(3, 862) = ( 3 x 862 ) / 2586

= 3 / 862

= 3


So, Greatest Common Divisor of 465, 585, 99, 862 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 465, 585, 99, 862

Given numbers are 465, 585, 99, 862
The greatest common divisor of numbers 465, 585, 99, 862 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 465, 585, 99, 862 is 1.

FAQs on GCD of 465, 585, 99, 862 Calculator

1. What is the GCD of 465, 585, 99, 862?

GCD of given numbers 465, 585, 99, 862 is 1


2. How to calculate the greatest common divisor of 465, 585, 99, 862?

We can find the highest common divisor of 465, 585, 99, 862 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 465, 585, 99, 862 i.e 1.


3. How can I use the GCD of 465, 585, 99, 862Calculator?

Out the numbers 465, 585, 99, 862 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.