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GCD of 800, 594, 400, 825 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, 594, 400, 825 quickly. Get the easiest ways to solve the greatest common divisor of 800, 594, 400, 825 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 800, 594, 400, 825 with Factoring?

Given Input numbers are 800, 594, 400, 825

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 594 :

The positive integer divisors of 594 that completely divides 594 are.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

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

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825


GCD of numbers is the greatest common divisor

So, the GCD (800, 594, 400, 825) = 1.

Find GCD of 800, 594, 400, 825 using Prime Factorization

Given numbers are 800, 594, 400, 825

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 594 are 2 x 3 x 3 x 3 x 11

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 825 are 3 x 5 x 5 x 11

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

Steps to Calculate GCD of 800, 594, 400, 825 using LCM Formula

Given numbers are 800, 594, 400, 825

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

Apply this formula for all numbers.

Step1:

LCM(800, 594) = 237600

GCD(800, 594) = ( 800 x 594 ) / 237600

= 800 / 594

= 800


Step2:

LCM(2, 400) = 400

GCD(2, 400) = ( 2 x 400 ) / 400

= 2 / 400

= 2


Step3:

LCM(2, 825) = 1650

GCD(2, 825) = ( 2 x 825 ) / 1650

= 2 / 825

= 2


So, Greatest Common Divisor of 800, 594, 400, 825 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 800, 594, 400, 825

Given numbers are 800, 594, 400, 825
The greatest common divisor of numbers 800, 594, 400, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 594, 400, 825 is 1.

FAQs on GCD of 800, 594, 400, 825 Calculator

1. What is the GCD of 800, 594, 400, 825?

GCD of given numbers 800, 594, 400, 825 is 1


2. How to calculate the greatest common divisor of 800, 594, 400, 825?

We can find the highest common divisor of 800, 594, 400, 825 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, 594, 400, 825 i.e 1.


3. How can I use the GCD of 800, 594, 400, 825Calculator?

Out the numbers 800, 594, 400, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.