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GCD of 655, 731, 966, 404 Calculator

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


Online GCD Calculator is useful to find the GCD of 655, 731, 966, 404 quickly. Get the easiest ways to solve the greatest common divisor of 655, 731, 966, 404 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 655, 731, 966, 404 with Factoring?

Given Input numbers are 655, 731, 966, 404

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

Divisors of 655 :

The positive integer divisors of 655 that completely divides 655 are.

1, 5, 131, 655

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404


GCD of numbers is the greatest common divisor

So, the GCD (655, 731, 966, 404) = 1.

Find GCD of 655, 731, 966, 404 using Prime Factorization

Given numbers are 655, 731, 966, 404

The list of prime factors of all numbers are

Prime factors of 655 are 5 x 131

Prime factors of 731 are 17 x 43

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 404 are 2 x 2 x 101

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

Steps to Calculate GCD of 655, 731, 966, 404 using LCM Formula

Given numbers are 655, 731, 966, 404

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

Apply this formula for all numbers.

Step1:

LCM(655, 731) = 478805

GCD(655, 731) = ( 655 x 731 ) / 478805

= 655 / 731

= 655


Step2:

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

= 1 / 966

= 1


Step3:

LCM(1, 404) = 404

GCD(1, 404) = ( 1 x 404 ) / 404

= 1 / 404

= 1


So, Greatest Common Divisor of 655, 731, 966, 404 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 655, 731, 966, 404

Given numbers are 655, 731, 966, 404
The greatest common divisor of numbers 655, 731, 966, 404 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 655, 731, 966, 404 is 1.

FAQs on GCD of 655, 731, 966, 404 Calculator

1. What is the GCD of 655, 731, 966, 404?

GCD of given numbers 655, 731, 966, 404 is 1


2. How to calculate the greatest common divisor of 655, 731, 966, 404?

We can find the highest common divisor of 655, 731, 966, 404 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 655, 731, 966, 404 i.e 1.


3. How can I use the GCD of 655, 731, 966, 404Calculator?

Out the numbers 655, 731, 966, 404 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.