GCD of 61, 849, 527, 800 Calculator

Given Input numbers are 61, 849, 527, 800

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

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 527

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

1, 17, 31, 527

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 61, 849, 527, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 61, 849, 527, 800 is 1.

Therefore, GCD of numbers 61, 849, 527, 800 is 1

Given Input Data is 61, 849, 527, 800

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

Prime Factorization of 61 is 61

Prime Factorization of 849 is 3 x 283

Prime Factorization of 527 is 17 x 31

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(61, 849) = 51789

GCD(61, 849) = ( 61 x 849 ) / 51789

GCD(61, 849) = 51789 / 51789

GCD(61, 849) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 527

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

LCM(1, 527) = 527

GCD(1, 527) = ( 1 x 527 ) / 527

GCD(1, 527) = 527 / 527

GCD(1, 527) = 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 61, 849, 527, 800 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 43, 861, 486, 526
• GCD of 35, 473, 556, 303
• GCD of 59, 118, 903, 675
• GCD of 81, 660, 825, 429
• GCD of 30, 640, 776, 178

1. What is the GCD of 61, 849, 527, 800?

GCD of 61, 849, 527, 800 is 1

2. Where do I get the detailed procedure to find GCD of 61, 849, 527, 800?

You can find a detailed procedure to find GCD of 61, 849, 527, 800 on our page.

3. How to find GCD of 61, 849, 527, 800 on a calculator?

You can find the GCD of 61, 849, 527, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.