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GCD of 489, 643, 589, 700 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, 643, 589, 700 quickly. Get the easiest ways to solve the greatest common divisor of 489, 643, 589, 700 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 489, 643, 589, 700 with Factoring?

Given Input numbers are 489, 643, 589, 700

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 643 :

The positive integer divisors of 643 that completely divides 643 are.

1, 643

Divisors of 589 :

The positive integer divisors of 589 that completely divides 589 are.

1, 19, 31, 589

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700


GCD of numbers is the greatest common divisor

So, the GCD (489, 643, 589, 700) = 1.

Find GCD of 489, 643, 589, 700 using Prime Factorization

Given numbers are 489, 643, 589, 700

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 643 are 643

Prime factors of 589 are 19 x 31

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

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

Steps to Calculate GCD of 489, 643, 589, 700 using LCM Formula

Given numbers are 489, 643, 589, 700

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

Apply this formula for all numbers.

Step1:

LCM(489, 643) = 314427

GCD(489, 643) = ( 489 x 643 ) / 314427

= 489 / 643

= 489


Step2:

LCM(1, 589) = 589

GCD(1, 589) = ( 1 x 589 ) / 589

= 1 / 589

= 1


Step3:

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

= 1 / 700

= 1


So, Greatest Common Divisor of 489, 643, 589, 700 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 489, 643, 589, 700

Given numbers are 489, 643, 589, 700
The greatest common divisor of numbers 489, 643, 589, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 643, 589, 700 is 1.

FAQs on GCD of 489, 643, 589, 700 Calculator

1. What is the GCD of 489, 643, 589, 700?

GCD of given numbers 489, 643, 589, 700 is 1


2. How to calculate the greatest common divisor of 489, 643, 589, 700?

We can find the highest common divisor of 489, 643, 589, 700 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, 643, 589, 700 i.e 1.


3. How can I use the GCD of 489, 643, 589, 700Calculator?

Out the numbers 489, 643, 589, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.