GCD of 61, 501, 344, 800 Calculator

Given Input numbers are 61, 501, 344, 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 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

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, 501, 344, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 61, 501, 344, 800 is 1.

Therefore, GCD of numbers 61, 501, 344, 800 is 1

Given Input Data is 61, 501, 344, 800

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

Prime Factorization of 61 is 61

Prime Factorization of 501 is 3 x 167

Prime Factorization of 344 is 2 x 2 x 2 x 43

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, 501) = 30561

GCD(61, 501) = ( 61 x 501 ) / 30561

GCD(61, 501) = 30561 / 30561

GCD(61, 501) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 344

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

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

GCD(1, 344) = 344 / 344

GCD(1, 344) = 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, 501, 344, 800 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 52, 106, 120, 386
• GCD of 99, 952, 705, 653
• GCD of 12, 357, 587, 303
• GCD of 20, 506, 810, 752
• GCD of 97, 583, 128, 813

1. What is the GCD of 61, 501, 344, 800?

GCD of 61, 501, 344, 800 is 1

2. Where do I get the detailed procedure to find GCD of 61, 501, 344, 800?

You can find a detailed procedure to find GCD of 61, 501, 344, 800 on our page.

3. How to find GCD of 61, 501, 344, 800 on a calculator?

You can find the GCD of 61, 501, 344, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.