GCD of 789, 112, 280, 562 Calculator

Given Input numbers are 789, 112, 280, 562

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

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

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

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Greatest Common Divisior

We found the divisors of 789, 112, 280, 562 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 112, 280, 562 is 1.

Therefore, GCD of numbers 789, 112, 280, 562 is 1

Given Input Data is 789, 112, 280, 562

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 562 is 2 x 281

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(789, 112) = 88368

GCD(789, 112) = ( 789 x 112 ) / 88368

GCD(789, 112) = 88368 / 88368

GCD(789, 112) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 280

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

LCM(1, 280) = 280

GCD(1, 280) = ( 1 x 280 ) / 280

GCD(1, 280) = 280 / 280

GCD(1, 280) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 562

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

LCM(1, 562) = 562

GCD(1, 562) = ( 1 x 562 ) / 562

GCD(1, 562) = 562 / 562

GCD(1, 562) = 1

GCD of 789, 112, 280, 562 is 1

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1. What is the GCD of 789, 112, 280, 562?

GCD of 789, 112, 280, 562 is 1

2. Where do I get the detailed procedure to find GCD of 789, 112, 280, 562?

You can find a detailed procedure to find GCD of 789, 112, 280, 562 on our page.

3. How to find GCD of 789, 112, 280, 562 on a calculator?

You can find the GCD of 789, 112, 280, 562 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.