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GCD of 800, 344, 803, 708 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, 344, 803, 708 quickly. Get the easiest ways to solve the greatest common divisor of 800, 344, 803, 708 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 800, 344, 803, 708 with Factoring?

Given Input numbers are 800, 344, 803, 708

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 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 803 :

The positive integer divisors of 803 that completely divides 803 are.

1, 11, 73, 803

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708


GCD of numbers is the greatest common divisor

So, the GCD (800, 344, 803, 708) = 1.

Find GCD of 800, 344, 803, 708 using Prime Factorization

Given numbers are 800, 344, 803, 708

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 344 are 2 x 2 x 2 x 43

Prime factors of 803 are 11 x 73

Prime factors of 708 are 2 x 2 x 3 x 59

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

Steps to Calculate GCD of 800, 344, 803, 708 using LCM Formula

Given numbers are 800, 344, 803, 708

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

Apply this formula for all numbers.

Step1:

LCM(800, 344) = 34400

GCD(800, 344) = ( 800 x 344 ) / 34400

= 800 / 344

= 800


Step2:

LCM(8, 803) = 6424

GCD(8, 803) = ( 8 x 803 ) / 6424

= 8 / 803

= 8


Step3:

LCM(1, 708) = 708

GCD(1, 708) = ( 1 x 708 ) / 708

= 1 / 708

= 1


So, Greatest Common Divisor of 800, 344, 803, 708 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 800, 344, 803, 708

Given numbers are 800, 344, 803, 708
The greatest common divisor of numbers 800, 344, 803, 708 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 344, 803, 708 is 1.

FAQs on GCD of 800, 344, 803, 708 Calculator

1. What is the GCD of 800, 344, 803, 708?

GCD of given numbers 800, 344, 803, 708 is 1


2. How to calculate the greatest common divisor of 800, 344, 803, 708?

We can find the highest common divisor of 800, 344, 803, 708 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, 344, 803, 708 i.e 1.


3. How can I use the GCD of 800, 344, 803, 708Calculator?

Out the numbers 800, 344, 803, 708 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.