GCD of 754, 899, 12, 562 Calculator

Given Input numbers are 754, 899, 12, 562

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

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

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 754, 899, 12, 562 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 754, 899, 12, 562 is 1.

Therefore, GCD of numbers 754, 899, 12, 562 is 1

Given Input Data is 754, 899, 12, 562

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

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 899 is 29 x 31

Prime Factorization of 12 is 2 x 2 x 3

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(754, 899) = 23374

GCD(754, 899) = ( 754 x 899 ) / 23374

GCD(754, 899) = 677846 / 23374

GCD(754, 899) = 29

Step2:

Here we consider the GCD from the above i.e. 29 as first number and the next as 12

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

LCM(29, 12) = 348

GCD(29, 12) = ( 29 x 12 ) / 348

GCD(29, 12) = 348 / 348

GCD(29, 12) = 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 754, 899, 12, 562 is 1

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1. What is the GCD of 754, 899, 12, 562?

GCD of 754, 899, 12, 562 is 1

2. Where do I get the detailed procedure to find GCD of 754, 899, 12, 562?

You can find a detailed procedure to find GCD of 754, 899, 12, 562 on our page.

3. How to find GCD of 754, 899, 12, 562 on a calculator?

You can find the GCD of 754, 899, 12, 562 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.