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GCD of 843, 633, 360, 861 Calculator

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


Online GCD Calculator is useful to find the GCD of 843, 633, 360, 861 quickly. Get the easiest ways to solve the greatest common divisor of 843, 633, 360, 861 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 843, 633, 360, 861 with Factoring?

Given Input numbers are 843, 633, 360, 861

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

Divisors of 843 :

The positive integer divisors of 843 that completely divides 843 are.

1, 3, 281, 843

Divisors of 633 :

The positive integer divisors of 633 that completely divides 633 are.

1, 3, 211, 633

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 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861


GCD of numbers is the greatest common divisor

So, the GCD (843, 633, 360, 861) = 3.

Find GCD of 843, 633, 360, 861 using Prime Factorization

Given numbers are 843, 633, 360, 861

The list of prime factors of all numbers are

Prime factors of 843 are 3 x 281

Prime factors of 633 are 3 x 211

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

Prime factors of 861 are 3 x 7 x 41

The highest common occurrence is 31

Therefore, GCD of 843, 633, 360, 861 is 3.

Steps to Calculate GCD of 843, 633, 360, 861 using LCM Formula

Given numbers are 843, 633, 360, 861

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

Apply this formula for all numbers.

Step1:

LCM(843, 633) = 177873

GCD(843, 633) = ( 843 x 633 ) / 177873

= 843 / 633

= 843


Step2:

LCM(3, 360) = 360

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

= 3 / 360

= 3


Step3:

LCM(3, 861) = 861

GCD(3, 861) = ( 3 x 861 ) / 861

= 3 / 861

= 3


So, Greatest Common Divisor of 843, 633, 360, 861 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 843, 633, 360, 861

Given numbers are 843, 633, 360, 861
The greatest common divisor of numbers 843, 633, 360, 861 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 843, 633, 360, 861 is 3.

FAQs on GCD of 843, 633, 360, 861 Calculator

1. What is the GCD of 843, 633, 360, 861?

GCD of given numbers 843, 633, 360, 861 is 3


2. How to calculate the greatest common divisor of 843, 633, 360, 861?

We can find the highest common divisor of 843, 633, 360, 861 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 843, 633, 360, 861 i.e 3.


3. How can I use the GCD of 843, 633, 360, 861Calculator?

Out the numbers 843, 633, 360, 861 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.