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GCD of 300, 120, 501, 866 Calculator

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


Online GCD Calculator is useful to find the GCD of 300, 120, 501, 866 quickly. Get the easiest ways to solve the greatest common divisor of 300, 120, 501, 866 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 300, 120, 501, 866 with Factoring?

Given Input numbers are 300, 120, 501, 866

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

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 501 :

The positive integer divisors of 501 that completely divides 501 are.

1, 3, 167, 501

Divisors of 866 :

The positive integer divisors of 866 that completely divides 866 are.

1, 2, 433, 866


GCD of numbers is the greatest common divisor

So, the GCD (300, 120, 501, 866) = 1.

Find GCD of 300, 120, 501, 866 using Prime Factorization

Given numbers are 300, 120, 501, 866

The list of prime factors of all numbers are

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 501 are 3 x 167

Prime factors of 866 are 2 x 433

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

Steps to Calculate GCD of 300, 120, 501, 866 using LCM Formula

Given numbers are 300, 120, 501, 866

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

Apply this formula for all numbers.

Step1:

LCM(300, 120) = 600

GCD(300, 120) = ( 300 x 120 ) / 600

= 300 / 120

= 300


Step2:

LCM(60, 501) = 10020

GCD(60, 501) = ( 60 x 501 ) / 10020

= 60 / 501

= 60


Step3:

LCM(3, 866) = 2598

GCD(3, 866) = ( 3 x 866 ) / 2598

= 3 / 866

= 3


So, Greatest Common Divisor of 300, 120, 501, 866 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 300, 120, 501, 866

Given numbers are 300, 120, 501, 866
The greatest common divisor of numbers 300, 120, 501, 866 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 120, 501, 866 is 1.

FAQs on GCD of 300, 120, 501, 866 Calculator

1. What is the GCD of 300, 120, 501, 866?

GCD of given numbers 300, 120, 501, 866 is 1


2. How to calculate the greatest common divisor of 300, 120, 501, 866?

We can find the highest common divisor of 300, 120, 501, 866 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 300, 120, 501, 866 i.e 1.


3. How can I use the GCD of 300, 120, 501, 866Calculator?

Out the numbers 300, 120, 501, 866 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.