GCD of 856, 512, 915, 429 Calculator

Given Input numbers are 856, 512, 915, 429

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

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Greatest Common Divisior

We found the divisors of 856, 512, 915, 429 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 856, 512, 915, 429 is 1.

Therefore, GCD of numbers 856, 512, 915, 429 is 1

Given Input Data is 856, 512, 915, 429

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

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 429 is 3 x 11 x 13

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(856, 512) = 54784

GCD(856, 512) = ( 856 x 512 ) / 54784

GCD(856, 512) = 438272 / 54784

GCD(856, 512) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 915

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

LCM(8, 915) = 7320

GCD(8, 915) = ( 8 x 915 ) / 7320

GCD(8, 915) = 7320 / 7320

GCD(8, 915) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 429

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

LCM(1, 429) = 429

GCD(1, 429) = ( 1 x 429 ) / 429

GCD(1, 429) = 429 / 429

GCD(1, 429) = 1

GCD of 856, 512, 915, 429 is 1

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1. What is the GCD of 856, 512, 915, 429?

GCD of 856, 512, 915, 429 is 1

2. Where do I get the detailed procedure to find GCD of 856, 512, 915, 429?

You can find a detailed procedure to find GCD of 856, 512, 915, 429 on our page.

3. How to find GCD of 856, 512, 915, 429 on a calculator?

You can find the GCD of 856, 512, 915, 429 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.