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GCD of 969, 604, 723, 491 Calculator

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


Online GCD Calculator is useful to find the GCD of 969, 604, 723, 491 quickly. Get the easiest ways to solve the greatest common divisor of 969, 604, 723, 491 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 969, 604, 723, 491 with Factoring?

Given Input numbers are 969, 604, 723, 491

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

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 604 :

The positive integer divisors of 604 that completely divides 604 are.

1, 2, 4, 151, 302, 604

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 491 :

The positive integer divisors of 491 that completely divides 491 are.

1, 491


GCD of numbers is the greatest common divisor

So, the GCD (969, 604, 723, 491) = 1.

Find GCD of 969, 604, 723, 491 using Prime Factorization

Given numbers are 969, 604, 723, 491

The list of prime factors of all numbers are

Prime factors of 969 are 3 x 17 x 19

Prime factors of 604 are 2 x 2 x 151

Prime factors of 723 are 3 x 241

Prime factors of 491 are 491

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

Steps to Calculate GCD of 969, 604, 723, 491 using LCM Formula

Given numbers are 969, 604, 723, 491

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

Apply this formula for all numbers.

Step1:

LCM(969, 604) = 585276

GCD(969, 604) = ( 969 x 604 ) / 585276

= 969 / 604

= 969


Step2:

LCM(1, 723) = 723

GCD(1, 723) = ( 1 x 723 ) / 723

= 1 / 723

= 1


Step3:

LCM(1, 491) = 491

GCD(1, 491) = ( 1 x 491 ) / 491

= 1 / 491

= 1


So, Greatest Common Divisor of 969, 604, 723, 491 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 969, 604, 723, 491

Given numbers are 969, 604, 723, 491
The greatest common divisor of numbers 969, 604, 723, 491 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 969, 604, 723, 491 is 1.

FAQs on GCD of 969, 604, 723, 491 Calculator

1. What is the GCD of 969, 604, 723, 491?

GCD of given numbers 969, 604, 723, 491 is 1


2. How to calculate the greatest common divisor of 969, 604, 723, 491?

We can find the highest common divisor of 969, 604, 723, 491 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 969, 604, 723, 491 i.e 1.


3. How can I use the GCD of 969, 604, 723, 491Calculator?

Out the numbers 969, 604, 723, 491 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.