GCD of 800, 425, 546, 979 Calculator

Given Input numbers are 800, 425, 546, 979

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

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

Divisors of 425

List of positive integer divisors of 425 that divides 425 without a remainder.

1, 5, 17, 25, 85, 425

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

Greatest Common Divisior

We found the divisors of 800, 425, 546, 979 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 425, 546, 979 is 1.

Therefore, GCD of numbers 800, 425, 546, 979 is 1

Given Input Data is 800, 425, 546, 979

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

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

Prime Factorization of 425 is 5 x 5 x 17

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 979 is 11 x 89

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(800, 425) = 13600

GCD(800, 425) = ( 800 x 425 ) / 13600

GCD(800, 425) = 340000 / 13600

GCD(800, 425) = 25

Step2:

Here we consider the GCD from the above i.e. 25 as first number and the next as 546

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

LCM(25, 546) = 13650

GCD(25, 546) = ( 25 x 546 ) / 13650

GCD(25, 546) = 13650 / 13650

GCD(25, 546) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 979

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

LCM(1, 979) = 979

GCD(1, 979) = ( 1 x 979 ) / 979

GCD(1, 979) = 979 / 979

GCD(1, 979) = 1

GCD of 800, 425, 546, 979 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 893, 167, 115, 328
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• GCD of 258, 427, 965, 836

1. What is the GCD of 800, 425, 546, 979?

GCD of 800, 425, 546, 979 is 1

2. Where do I get the detailed procedure to find GCD of 800, 425, 546, 979?

You can find a detailed procedure to find GCD of 800, 425, 546, 979 on our page.

3. How to find GCD of 800, 425, 546, 979 on a calculator?

You can find the GCD of 800, 425, 546, 979 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.