GCD of 527, 827, 726, 800 Calculator

Given Input numbers are 527, 827, 726, 800

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

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

Greatest Common Divisior

We found the divisors of 527, 827, 726, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 527, 827, 726, 800 is 1.

Therefore, GCD of numbers 527, 827, 726, 800 is 1

Given Input Data is 527, 827, 726, 800

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 527 is 17 x 31

Prime Factorization of 827 is 827

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(527, 827) = 435829

GCD(527, 827) = ( 527 x 827 ) / 435829

GCD(527, 827) = 435829 / 435829

GCD(527, 827) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 726

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

LCM(1, 726) = 726

GCD(1, 726) = ( 1 x 726 ) / 726

GCD(1, 726) = 726 / 726

GCD(1, 726) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 800

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

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

GCD(1, 800) = 800 / 800

GCD(1, 800) = 1

GCD of 527, 827, 726, 800 is 1

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1. What is the GCD of 527, 827, 726, 800?

GCD of 527, 827, 726, 800 is 1

2. Where do I get the detailed procedure to find GCD of 527, 827, 726, 800?

You can find a detailed procedure to find GCD of 527, 827, 726, 800 on our page.

3. How to find GCD of 527, 827, 726, 800 on a calculator?

You can find the GCD of 527, 827, 726, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.