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GCD of 800, 480, 13, 984 Calculator

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


Online GCD Calculator is useful to find the GCD of 800, 480, 13, 984 quickly. Get the easiest ways to solve the greatest common divisor of 800, 480, 13, 984 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 800, 480, 13, 984 with Factoring?

Given Input numbers are 800, 480, 13, 984

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

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 13 :

The positive integer divisors of 13 that completely divides 13 are.

1, 13

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


GCD of numbers is the greatest common divisor

So, the GCD (800, 480, 13, 984) = 1.

Find GCD of 800, 480, 13, 984 using Prime Factorization

Given numbers are 800, 480, 13, 984

The list of prime factors of all numbers are

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 13 are 13

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

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

Steps to Calculate GCD of 800, 480, 13, 984 using LCM Formula

Given numbers are 800, 480, 13, 984

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

Apply this formula for all numbers.

Step1:

LCM(800, 480) = 2400

GCD(800, 480) = ( 800 x 480 ) / 2400

= 800 / 480

= 800


Step2:

LCM(160, 13) = 2080

GCD(160, 13) = ( 160 x 13 ) / 2080

= 160 / 13

= 160


Step3:

LCM(1, 984) = 984

GCD(1, 984) = ( 1 x 984 ) / 984

= 1 / 984

= 1


So, Greatest Common Divisor of 800, 480, 13, 984 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 800, 480, 13, 984

Given numbers are 800, 480, 13, 984
The greatest common divisor of numbers 800, 480, 13, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 480, 13, 984 is 1.

FAQs on GCD of 800, 480, 13, 984 Calculator

1. What is the GCD of 800, 480, 13, 984?

GCD of given numbers 800, 480, 13, 984 is 1


2. How to calculate the greatest common divisor of 800, 480, 13, 984?

We can find the highest common divisor of 800, 480, 13, 984 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 800, 480, 13, 984 i.e 1.


3. How can I use the GCD of 800, 480, 13, 984Calculator?

Out the numbers 800, 480, 13, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.