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GCD of 104, 312, 89, 467 Calculator

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


Online GCD Calculator is useful to find the GCD of 104, 312, 89, 467 quickly. Get the easiest ways to solve the greatest common divisor of 104, 312, 89, 467 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 104, 312, 89, 467 with Factoring?

Given Input numbers are 104, 312, 89, 467

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

Divisors of 104 :

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

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

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 89 :

The positive integer divisors of 89 that completely divides 89 are.

1, 89

Divisors of 467 :

The positive integer divisors of 467 that completely divides 467 are.

1, 467


GCD of numbers is the greatest common divisor

So, the GCD (104, 312, 89, 467) = 1.

Find GCD of 104, 312, 89, 467 using Prime Factorization

Given numbers are 104, 312, 89, 467

The list of prime factors of all numbers are

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

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 89 are 89

Prime factors of 467 are 467

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

Steps to Calculate GCD of 104, 312, 89, 467 using LCM Formula

Given numbers are 104, 312, 89, 467

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

Apply this formula for all numbers.

Step1:

LCM(104, 312) = 312

GCD(104, 312) = ( 104 x 312 ) / 312

= 104 / 312

= 104


Step2:

LCM(104, 89) = 9256

GCD(104, 89) = ( 104 x 89 ) / 9256

= 104 / 89

= 104


Step3:

LCM(1, 467) = 467

GCD(1, 467) = ( 1 x 467 ) / 467

= 1 / 467

= 1


So, Greatest Common Divisor of 104, 312, 89, 467 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 104, 312, 89, 467

Given numbers are 104, 312, 89, 467
The greatest common divisor of numbers 104, 312, 89, 467 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 312, 89, 467 is 1.

FAQs on GCD of 104, 312, 89, 467 Calculator

1. What is the GCD of 104, 312, 89, 467?

GCD of given numbers 104, 312, 89, 467 is 1


2. How to calculate the greatest common divisor of 104, 312, 89, 467?

We can find the highest common divisor of 104, 312, 89, 467 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 104, 312, 89, 467 i.e 1.


3. How can I use the GCD of 104, 312, 89, 467Calculator?

Out the numbers 104, 312, 89, 467 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.