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GCD of 648, 927, 600, 801 Calculator

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


Online GCD Calculator is useful to find the GCD of 648, 927, 600, 801 quickly. Get the easiest ways to solve the greatest common divisor of 648, 927, 600, 801 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 648, 927, 600, 801 with Factoring?

Given Input numbers are 648, 927, 600, 801

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

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 927 :

The positive integer divisors of 927 that completely divides 927 are.

1, 3, 9, 103, 309, 927

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 801 :

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

1, 3, 9, 89, 267, 801


GCD of numbers is the greatest common divisor

So, the GCD (648, 927, 600, 801) = 3.

Find GCD of 648, 927, 600, 801 using Prime Factorization

Given numbers are 648, 927, 600, 801

The list of prime factors of all numbers are

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 927 are 3 x 3 x 103

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 801 are 3 x 3 x 89

The highest common occurrence is 31

Therefore, GCD of 648, 927, 600, 801 is 3.

Steps to Calculate GCD of 648, 927, 600, 801 using LCM Formula

Given numbers are 648, 927, 600, 801

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

Apply this formula for all numbers.

Step1:

LCM(648, 927) = 66744

GCD(648, 927) = ( 648 x 927 ) / 66744

= 648 / 927

= 648


Step2:

LCM(9, 600) = 1800

GCD(9, 600) = ( 9 x 600 ) / 1800

= 9 / 600

= 9


Step3:

LCM(3, 801) = 801

GCD(3, 801) = ( 3 x 801 ) / 801

= 3 / 801

= 3


So, Greatest Common Divisor of 648, 927, 600, 801 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 648, 927, 600, 801

Given numbers are 648, 927, 600, 801
The greatest common divisor of numbers 648, 927, 600, 801 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 648, 927, 600, 801 is 3.

FAQs on GCD of 648, 927, 600, 801 Calculator

1. What is the GCD of 648, 927, 600, 801?

GCD of given numbers 648, 927, 600, 801 is 3


2. How to calculate the greatest common divisor of 648, 927, 600, 801?

We can find the highest common divisor of 648, 927, 600, 801 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 648, 927, 600, 801 i.e 3.


3. How can I use the GCD of 648, 927, 600, 801Calculator?

Out the numbers 648, 927, 600, 801 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.