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GCD of 801, 630, 999, 918 Calculator

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


Online GCD Calculator is useful to find the GCD of 801, 630, 999, 918 quickly. Get the easiest ways to solve the greatest common divisor of 801, 630, 999, 918 i.e 9 in different methods as follows.

GCD of

How to Find GCD of Numbers 801, 630, 999, 918 with Factoring?

Given Input numbers are 801, 630, 999, 918

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

Divisors of 801 :

The positive integer divisors of 801 that completely divides 801 are.

1, 3, 9, 89, 267, 801

Divisors of 630 :

The positive integer divisors of 630 that completely divides 630 are.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 999 :

The positive integer divisors of 999 that completely divides 999 are.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918


GCD of numbers is the greatest common divisor

So, the GCD (801, 630, 999, 918) = 9.

Find GCD of 801, 630, 999, 918 using Prime Factorization

Given numbers are 801, 630, 999, 918

The list of prime factors of all numbers are

Prime factors of 801 are 3 x 3 x 89

Prime factors of 630 are 2 x 3 x 3 x 5 x 7

Prime factors of 999 are 3 x 3 x 3 x 37

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

The highest common occurrence is 32

Therefore, GCD of 801, 630, 999, 918 is 9.

Steps to Calculate GCD of 801, 630, 999, 918 using LCM Formula

Given numbers are 801, 630, 999, 918

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

Apply this formula for all numbers.

Step1:

LCM(801, 630) = 56070

GCD(801, 630) = ( 801 x 630 ) / 56070

= 801 / 630

= 801


Step2:

LCM(9, 999) = 999

GCD(9, 999) = ( 9 x 999 ) / 999

= 9 / 999

= 9


Step3:

LCM(9, 918) = 918

GCD(9, 918) = ( 9 x 918 ) / 918

= 9 / 918

= 9


So, Greatest Common Divisor of 801, 630, 999, 918 is 9

GCD of Numbers Calculation Examples

Greatest Common Divisor of 801, 630, 999, 918

Given numbers are 801, 630, 999, 918
The greatest common divisor of numbers 801, 630, 999, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 801, 630, 999, 918 is 9.

FAQs on GCD of 801, 630, 999, 918 Calculator

1. What is the GCD of 801, 630, 999, 918?

GCD of given numbers 801, 630, 999, 918 is 9


2. How to calculate the greatest common divisor of 801, 630, 999, 918?

We can find the highest common divisor of 801, 630, 999, 918 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 801, 630, 999, 918 i.e 9.


3. How can I use the GCD of 801, 630, 999, 918Calculator?

Out the numbers 801, 630, 999, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.