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GCD of 800, 825, 79, 255 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, 825, 79, 255 quickly. Get the easiest ways to solve the greatest common divisor of 800, 825, 79, 255 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 800, 825, 79, 255 with Factoring?

Given Input numbers are 800, 825, 79, 255

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 825 :

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

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

Divisors of 79 :

The positive integer divisors of 79 that completely divides 79 are.

1, 79

Divisors of 255 :

The positive integer divisors of 255 that completely divides 255 are.

1, 3, 5, 15, 17, 51, 85, 255


GCD of numbers is the greatest common divisor

So, the GCD (800, 825, 79, 255) = 1.

Find GCD of 800, 825, 79, 255 using Prime Factorization

Given numbers are 800, 825, 79, 255

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 825 are 3 x 5 x 5 x 11

Prime factors of 79 are 79

Prime factors of 255 are 3 x 5 x 17

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

Steps to Calculate GCD of 800, 825, 79, 255 using LCM Formula

Given numbers are 800, 825, 79, 255

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

Apply this formula for all numbers.

Step1:

LCM(800, 825) = 26400

GCD(800, 825) = ( 800 x 825 ) / 26400

= 800 / 825

= 800


Step2:

LCM(25, 79) = 1975

GCD(25, 79) = ( 25 x 79 ) / 1975

= 25 / 79

= 25


Step3:

LCM(1, 255) = 255

GCD(1, 255) = ( 1 x 255 ) / 255

= 1 / 255

= 1


So, Greatest Common Divisor of 800, 825, 79, 255 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 800, 825, 79, 255

Given numbers are 800, 825, 79, 255
The greatest common divisor of numbers 800, 825, 79, 255 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 825, 79, 255 is 1.

FAQs on GCD of 800, 825, 79, 255 Calculator

1. What is the GCD of 800, 825, 79, 255?

GCD of given numbers 800, 825, 79, 255 is 1


2. How to calculate the greatest common divisor of 800, 825, 79, 255?

We can find the highest common divisor of 800, 825, 79, 255 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, 825, 79, 255 i.e 1.


3. How can I use the GCD of 800, 825, 79, 255Calculator?

Out the numbers 800, 825, 79, 255 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.