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GCD of 105, 104, 604 Calculator

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


Online GCD Calculator is useful to find the GCD of 105, 104, 604 quickly. Get the easiest ways to solve the greatest common divisor of 105, 104, 604 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 105, 104, 604 with Factoring?

Given Input numbers are 105, 104, 604

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 604 :

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

1, 2, 4, 151, 302, 604


GCD of numbers is the greatest common divisor

So, the GCD (105, 104, 604) = 1.

Find GCD of 105, 104, 604 using Prime Factorization

Given numbers are 105, 104, 604

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 604 are 2 x 2 x 151

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

Steps to Calculate GCD of 105, 104, 604 using LCM Formula

Given numbers are 105, 104, 604

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

Apply this formula for all numbers.

Step1:

LCM(105, 104) = 10920

GCD(105, 104) = ( 105 x 104 ) / 10920

= 105 / 104

= 105


Step2:

LCM(1, 604) = 604

GCD(1, 604) = ( 1 x 604 ) / 604

= 1 / 604

= 1


So, Greatest Common Divisor of 105, 104, 604 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 105, 104, 604

Given numbers are 105, 104, 604
The greatest common divisor of numbers 105, 104, 604 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 104, 604 is 1.

FAQs on GCD of 105, 104, 604 Calculator

1. What is the GCD of 105, 104, 604?

GCD of given numbers 105, 104, 604 is 1


2. How to calculate the greatest common divisor of 105, 104, 604?

We can find the highest common divisor of 105, 104, 604 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 105, 104, 604 i.e 1.


3. How can I use the GCD of 105, 104, 604Calculator?

Out the numbers 105, 104, 604 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.