GCD of 526, 594, 69, 112 Calculator

Given Input numbers are 526, 594, 69, 112

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

Divisors of 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Divisors of 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

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 526, 594, 69, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 526, 594, 69, 112 is 1.

Therefore, GCD of numbers 526, 594, 69, 112 is 1

Given Input Data is 526, 594, 69, 112

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

Prime Factorization of 526 is 2 x 263

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

Prime Factorization of 69 is 3 x 23

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(526, 594) = 156222

GCD(526, 594) = ( 526 x 594 ) / 156222

GCD(526, 594) = 312444 / 156222

GCD(526, 594) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 69

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

LCM(2, 69) = 138

GCD(2, 69) = ( 2 x 69 ) / 138

GCD(2, 69) = 138 / 138

GCD(2, 69) = 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 526, 594, 69, 112 is 1

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• GCD of 718, 401, 78, 252
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• GCD of 534, 551, 96, 693

1. What is the GCD of 526, 594, 69, 112?

GCD of 526, 594, 69, 112 is 1

2. Where do I get the detailed procedure to find GCD of 526, 594, 69, 112?

You can find a detailed procedure to find GCD of 526, 594, 69, 112 on our page.

3. How to find GCD of 526, 594, 69, 112 on a calculator?

You can find the GCD of 526, 594, 69, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.