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GCD of 489, 851, 811, 100 Calculator

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


Online GCD Calculator is useful to find the GCD of 489, 851, 811, 100 quickly. Get the easiest ways to solve the greatest common divisor of 489, 851, 811, 100 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 489, 851, 811, 100 with Factoring?

Given Input numbers are 489, 851, 811, 100

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

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 851 :

The positive integer divisors of 851 that completely divides 851 are.

1, 23, 37, 851

Divisors of 811 :

The positive integer divisors of 811 that completely divides 811 are.

1, 811

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100


GCD of numbers is the greatest common divisor

So, the GCD (489, 851, 811, 100) = 1.

Find GCD of 489, 851, 811, 100 using Prime Factorization

Given numbers are 489, 851, 811, 100

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 851 are 23 x 37

Prime factors of 811 are 811

Prime factors of 100 are 2 x 2 x 5 x 5

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

Steps to Calculate GCD of 489, 851, 811, 100 using LCM Formula

Given numbers are 489, 851, 811, 100

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

Apply this formula for all numbers.

Step1:

LCM(489, 851) = 416139

GCD(489, 851) = ( 489 x 851 ) / 416139

= 489 / 851

= 489


Step2:

LCM(1, 811) = 811

GCD(1, 811) = ( 1 x 811 ) / 811

= 1 / 811

= 1


Step3:

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

= 1 / 100

= 1


So, Greatest Common Divisor of 489, 851, 811, 100 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 489, 851, 811, 100

Given numbers are 489, 851, 811, 100
The greatest common divisor of numbers 489, 851, 811, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 851, 811, 100 is 1.

FAQs on GCD of 489, 851, 811, 100 Calculator

1. What is the GCD of 489, 851, 811, 100?

GCD of given numbers 489, 851, 811, 100 is 1


2. How to calculate the greatest common divisor of 489, 851, 811, 100?

We can find the highest common divisor of 489, 851, 811, 100 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 489, 851, 811, 100 i.e 1.


3. How can I use the GCD of 489, 851, 811, 100Calculator?

Out the numbers 489, 851, 811, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.