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GCD of 800, 400, 291, 727 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, 400, 291, 727 quickly. Get the easiest ways to solve the greatest common divisor of 800, 400, 291, 727 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 800, 400, 291, 727 with Factoring?

Given Input numbers are 800, 400, 291, 727

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 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 291 :

The positive integer divisors of 291 that completely divides 291 are.

1, 3, 97, 291

Divisors of 727 :

The positive integer divisors of 727 that completely divides 727 are.

1, 727


GCD of numbers is the greatest common divisor

So, the GCD (800, 400, 291, 727) = 1.

Find GCD of 800, 400, 291, 727 using Prime Factorization

Given numbers are 800, 400, 291, 727

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 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 291 are 3 x 97

Prime factors of 727 are 727

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

Steps to Calculate GCD of 800, 400, 291, 727 using LCM Formula

Given numbers are 800, 400, 291, 727

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

Apply this formula for all numbers.

Step1:

LCM(800, 400) = 800

GCD(800, 400) = ( 800 x 400 ) / 800

= 800 / 400

= 800


Step2:

LCM(400, 291) = 116400

GCD(400, 291) = ( 400 x 291 ) / 116400

= 400 / 291

= 400


Step3:

LCM(1, 727) = 727

GCD(1, 727) = ( 1 x 727 ) / 727

= 1 / 727

= 1


So, Greatest Common Divisor of 800, 400, 291, 727 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 800, 400, 291, 727

Given numbers are 800, 400, 291, 727
The greatest common divisor of numbers 800, 400, 291, 727 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 400, 291, 727 is 1.

FAQs on GCD of 800, 400, 291, 727 Calculator

1. What is the GCD of 800, 400, 291, 727?

GCD of given numbers 800, 400, 291, 727 is 1


2. How to calculate the greatest common divisor of 800, 400, 291, 727?

We can find the highest common divisor of 800, 400, 291, 727 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, 400, 291, 727 i.e 1.


3. How can I use the GCD of 800, 400, 291, 727Calculator?

Out the numbers 800, 400, 291, 727 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.