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GCD of 984, 348, 625, 504 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, 348, 625, 504 quickly. Get the easiest ways to solve the greatest common divisor of 984, 348, 625, 504 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 984, 348, 625, 504 with Factoring?

Given Input numbers are 984, 348, 625, 504

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 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 625 :

The positive integer divisors of 625 that completely divides 625 are.

1, 5, 25, 125, 625

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504


GCD of numbers is the greatest common divisor

So, the GCD (984, 348, 625, 504) = 1.

Find GCD of 984, 348, 625, 504 using Prime Factorization

Given numbers are 984, 348, 625, 504

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 348 are 2 x 2 x 3 x 29

Prime factors of 625 are 5 x 5 x 5 x 5

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

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

Steps to Calculate GCD of 984, 348, 625, 504 using LCM Formula

Given numbers are 984, 348, 625, 504

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

Apply this formula for all numbers.

Step1:

LCM(984, 348) = 28536

GCD(984, 348) = ( 984 x 348 ) / 28536

= 984 / 348

= 984


Step2:

LCM(12, 625) = 7500

GCD(12, 625) = ( 12 x 625 ) / 7500

= 12 / 625

= 12


Step3:

LCM(1, 504) = 504

GCD(1, 504) = ( 1 x 504 ) / 504

= 1 / 504

= 1


So, Greatest Common Divisor of 984, 348, 625, 504 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 984, 348, 625, 504

Given numbers are 984, 348, 625, 504
The greatest common divisor of numbers 984, 348, 625, 504 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 348, 625, 504 is 1.

FAQs on GCD of 984, 348, 625, 504 Calculator

1. What is the GCD of 984, 348, 625, 504?

GCD of given numbers 984, 348, 625, 504 is 1


2. How to calculate the greatest common divisor of 984, 348, 625, 504?

We can find the highest common divisor of 984, 348, 625, 504 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, 348, 625, 504 i.e 1.


3. How can I use the GCD of 984, 348, 625, 504Calculator?

Out the numbers 984, 348, 625, 504 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.