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GCD of 984, 704, 417 Calculator

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


Online GCD Calculator is useful to find the GCD of 984, 704, 417 quickly. Get the easiest ways to solve the greatest common divisor of 984, 704, 417 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 984, 704, 417 with Factoring?

Given Input numbers are 984, 704, 417

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

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 417 :

The positive integer divisors of 417 that completely divides 417 are.

1, 3, 139, 417


GCD of numbers is the greatest common divisor

So, the GCD (984, 704, 417) = 1.

Find GCD of 984, 704, 417 using Prime Factorization

Given numbers are 984, 704, 417

The list of prime factors of all numbers are

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 417 are 3 x 139

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

Steps to Calculate GCD of 984, 704, 417 using LCM Formula

Given numbers are 984, 704, 417

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

Apply this formula for all numbers.

Step1:

LCM(984, 704) = 86592

GCD(984, 704) = ( 984 x 704 ) / 86592

= 984 / 704

= 984


Step2:

LCM(8, 417) = 3336

GCD(8, 417) = ( 8 x 417 ) / 3336

= 8 / 417

= 8


So, Greatest Common Divisor of 984, 704, 417 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 984, 704, 417

Given numbers are 984, 704, 417
The greatest common divisor of numbers 984, 704, 417 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 704, 417 is 1.

FAQs on GCD of 984, 704, 417 Calculator

1. What is the GCD of 984, 704, 417?

GCD of given numbers 984, 704, 417 is 1


2. How to calculate the greatest common divisor of 984, 704, 417?

We can find the highest common divisor of 984, 704, 417 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 984, 704, 417 i.e 1.


3. How can I use the GCD of 984, 704, 417Calculator?

Out the numbers 984, 704, 417 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.