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GCD of 489, 843, 769, 952 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, 843, 769, 952 quickly. Get the easiest ways to solve the greatest common divisor of 489, 843, 769, 952 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 489, 843, 769, 952 with Factoring?

Given Input numbers are 489, 843, 769, 952

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 843 :

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

1, 3, 281, 843

Divisors of 769 :

The positive integer divisors of 769 that completely divides 769 are.

1, 769

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952


GCD of numbers is the greatest common divisor

So, the GCD (489, 843, 769, 952) = 1.

Find GCD of 489, 843, 769, 952 using Prime Factorization

Given numbers are 489, 843, 769, 952

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 843 are 3 x 281

Prime factors of 769 are 769

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

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

Steps to Calculate GCD of 489, 843, 769, 952 using LCM Formula

Given numbers are 489, 843, 769, 952

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

Apply this formula for all numbers.

Step1:

LCM(489, 843) = 137409

GCD(489, 843) = ( 489 x 843 ) / 137409

= 489 / 843

= 489


Step2:

LCM(3, 769) = 2307

GCD(3, 769) = ( 3 x 769 ) / 2307

= 3 / 769

= 3


Step3:

LCM(1, 952) = 952

GCD(1, 952) = ( 1 x 952 ) / 952

= 1 / 952

= 1


So, Greatest Common Divisor of 489, 843, 769, 952 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 489, 843, 769, 952

Given numbers are 489, 843, 769, 952
The greatest common divisor of numbers 489, 843, 769, 952 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 843, 769, 952 is 1.

FAQs on GCD of 489, 843, 769, 952 Calculator

1. What is the GCD of 489, 843, 769, 952?

GCD of given numbers 489, 843, 769, 952 is 1


2. How to calculate the greatest common divisor of 489, 843, 769, 952?

We can find the highest common divisor of 489, 843, 769, 952 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, 843, 769, 952 i.e 1.


3. How can I use the GCD of 489, 843, 769, 952Calculator?

Out the numbers 489, 843, 769, 952 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.