GCD of 798, 560, 21, 850 Calculator

Given Input numbers are 798, 560, 21, 850

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

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Greatest Common Divisior

We found the divisors of 798, 560, 21, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 560, 21, 850 is 1.

Therefore, GCD of numbers 798, 560, 21, 850 is 1

Given Input Data is 798, 560, 21, 850

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

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 21 is 3 x 7

Prime Factorization of 850 is 2 x 5 x 5 x 17

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(798, 560) = 31920

GCD(798, 560) = ( 798 x 560 ) / 31920

GCD(798, 560) = 446880 / 31920

GCD(798, 560) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 21

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

LCM(14, 21) = 42

GCD(14, 21) = ( 14 x 21 ) / 42

GCD(14, 21) = 294 / 42

GCD(14, 21) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 850

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

LCM(7, 850) = 5950

GCD(7, 850) = ( 7 x 850 ) / 5950

GCD(7, 850) = 5950 / 5950

GCD(7, 850) = 1

GCD of 798, 560, 21, 850 is 1

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• GCD of 881, 347, 64, 713
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1. What is the GCD of 798, 560, 21, 850?

GCD of 798, 560, 21, 850 is 1

2. Where do I get the detailed procedure to find GCD of 798, 560, 21, 850?

You can find a detailed procedure to find GCD of 798, 560, 21, 850 on our page.

3. How to find GCD of 798, 560, 21, 850 on a calculator?

You can find the GCD of 798, 560, 21, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.