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GCD of 969, 493, 409, 981 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, 493, 409, 981 quickly. Get the easiest ways to solve the greatest common divisor of 969, 493, 409, 981 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 969, 493, 409, 981 with Factoring?

Given Input numbers are 969, 493, 409, 981

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 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

Divisors of 409 :

The positive integer divisors of 409 that completely divides 409 are.

1, 409

Divisors of 981 :

The positive integer divisors of 981 that completely divides 981 are.

1, 3, 9, 109, 327, 981


GCD of numbers is the greatest common divisor

So, the GCD (969, 493, 409, 981) = 1.

Find GCD of 969, 493, 409, 981 using Prime Factorization

Given numbers are 969, 493, 409, 981

The list of prime factors of all numbers are

Prime factors of 969 are 3 x 17 x 19

Prime factors of 493 are 17 x 29

Prime factors of 409 are 409

Prime factors of 981 are 3 x 3 x 109

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

Steps to Calculate GCD of 969, 493, 409, 981 using LCM Formula

Given numbers are 969, 493, 409, 981

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

Apply this formula for all numbers.

Step1:

LCM(969, 493) = 28101

GCD(969, 493) = ( 969 x 493 ) / 28101

= 969 / 493

= 969


Step2:

LCM(17, 409) = 6953

GCD(17, 409) = ( 17 x 409 ) / 6953

= 17 / 409

= 17


Step3:

LCM(1, 981) = 981

GCD(1, 981) = ( 1 x 981 ) / 981

= 1 / 981

= 1


So, Greatest Common Divisor of 969, 493, 409, 981 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 969, 493, 409, 981

Given numbers are 969, 493, 409, 981
The greatest common divisor of numbers 969, 493, 409, 981 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 969, 493, 409, 981 is 1.

FAQs on GCD of 969, 493, 409, 981 Calculator

1. What is the GCD of 969, 493, 409, 981?

GCD of given numbers 969, 493, 409, 981 is 1


2. How to calculate the greatest common divisor of 969, 493, 409, 981?

We can find the highest common divisor of 969, 493, 409, 981 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, 493, 409, 981 i.e 1.


3. How can I use the GCD of 969, 493, 409, 981Calculator?

Out the numbers 969, 493, 409, 981 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.