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GCD of 584, 840, 899, 996 Calculator

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


Online GCD Calculator is useful to find the GCD of 584, 840, 899, 996 quickly. Get the easiest ways to solve the greatest common divisor of 584, 840, 899, 996 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 584, 840, 899, 996 with Factoring?

Given Input numbers are 584, 840, 899, 996

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

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 899 :

The positive integer divisors of 899 that completely divides 899 are.

1, 29, 31, 899

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996


GCD of numbers is the greatest common divisor

So, the GCD (584, 840, 899, 996) = 1.

Find GCD of 584, 840, 899, 996 using Prime Factorization

Given numbers are 584, 840, 899, 996

The list of prime factors of all numbers are

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 899 are 29 x 31

Prime factors of 996 are 2 x 2 x 3 x 83

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

Steps to Calculate GCD of 584, 840, 899, 996 using LCM Formula

Given numbers are 584, 840, 899, 996

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

Apply this formula for all numbers.

Step1:

LCM(584, 840) = 61320

GCD(584, 840) = ( 584 x 840 ) / 61320

= 584 / 840

= 584


Step2:

LCM(8, 899) = 7192

GCD(8, 899) = ( 8 x 899 ) / 7192

= 8 / 899

= 8


Step3:

LCM(1, 996) = 996

GCD(1, 996) = ( 1 x 996 ) / 996

= 1 / 996

= 1


So, Greatest Common Divisor of 584, 840, 899, 996 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 584, 840, 899, 996

Given numbers are 584, 840, 899, 996
The greatest common divisor of numbers 584, 840, 899, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 584, 840, 899, 996 is 1.

FAQs on GCD of 584, 840, 899, 996 Calculator

1. What is the GCD of 584, 840, 899, 996?

GCD of given numbers 584, 840, 899, 996 is 1


2. How to calculate the greatest common divisor of 584, 840, 899, 996?

We can find the highest common divisor of 584, 840, 899, 996 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 584, 840, 899, 996 i.e 1.


3. How can I use the GCD of 584, 840, 899, 996Calculator?

Out the numbers 584, 840, 899, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.