GCD of 545, 690, 894, 112 Calculator

Given Input numbers are 545, 690, 894, 112

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

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

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

Greatest Common Divisior

We found the divisors of 545, 690, 894, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 545, 690, 894, 112 is 1.

Therefore, GCD of numbers 545, 690, 894, 112 is 1

Given Input Data is 545, 690, 894, 112

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

Prime Factorization of 545 is 5 x 109

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 894 is 2 x 3 x 149

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

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(545, 690) = 75210

GCD(545, 690) = ( 545 x 690 ) / 75210

GCD(545, 690) = 376050 / 75210

GCD(545, 690) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 894

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

LCM(5, 894) = 4470

GCD(5, 894) = ( 5 x 894 ) / 4470

GCD(5, 894) = 4470 / 4470

GCD(5, 894) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 112

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

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

GCD(1, 112) = 112 / 112

GCD(1, 112) = 1

GCD of 545, 690, 894, 112 is 1

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1. What is the GCD of 545, 690, 894, 112?

GCD of 545, 690, 894, 112 is 1

2. Where do I get the detailed procedure to find GCD of 545, 690, 894, 112?

You can find a detailed procedure to find GCD of 545, 690, 894, 112 on our page.

3. How to find GCD of 545, 690, 894, 112 on a calculator?

You can find the GCD of 545, 690, 894, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.