GCD of 825, 892, 90, 726 Calculator

Given Input numbers are 825, 892, 90, 726

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

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

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

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

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

Greatest Common Divisior

We found the divisors of 825, 892, 90, 726 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 892, 90, 726 is 1.

Therefore, GCD of numbers 825, 892, 90, 726 is 1

Given Input Data is 825, 892, 90, 726

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

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 90 is 2 x 3 x 3 x 5

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

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(825, 892) = 735900

GCD(825, 892) = ( 825 x 892 ) / 735900

GCD(825, 892) = 735900 / 735900

GCD(825, 892) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 1

Step3:

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

GCD of 825, 892, 90, 726 is 1

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1. What is the GCD of 825, 892, 90, 726?

GCD of 825, 892, 90, 726 is 1

2. Where do I get the detailed procedure to find GCD of 825, 892, 90, 726?

You can find a detailed procedure to find GCD of 825, 892, 90, 726 on our page.

3. How to find GCD of 825, 892, 90, 726 on a calculator?

You can find the GCD of 825, 892, 90, 726 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.