GCD of 526, 784, 345 Calculator

Given Input numbers are 526, 784, 345

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 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Greatest Common Divisior

We found the divisors of 526, 784, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 526, 784, 345 is 1.

Therefore, GCD of numbers 526, 784, 345 is 1

Given Input Data is 526, 784, 345

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

Prime Factorization of 526 is 2 x 263

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 345 is 3 x 5 x 23

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, 784) = 206192

GCD(526, 784) = ( 526 x 784 ) / 206192

GCD(526, 784) = 412384 / 206192

GCD(526, 784) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 345

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

LCM(2, 345) = 690

GCD(2, 345) = ( 2 x 345 ) / 690

GCD(2, 345) = 690 / 690

GCD(2, 345) = 1

GCD of 526, 784, 345 is 1

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1. What is the GCD of 526, 784, 345?

GCD of 526, 784, 345 is 1

2. Where do I get the detailed procedure to find GCD of 526, 784, 345?

You can find a detailed procedure to find GCD of 526, 784, 345 on our page.

3. How to find GCD of 526, 784, 345 on a calculator?

You can find the GCD of 526, 784, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.