GCD of 12, 346, 277, 864 Calculator

Given Input numbers are 12, 346, 277, 864

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

Divisors of 12

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

1, 2, 3, 4, 6, 12

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 277

List of positive integer divisors of 277 that divides 277 without a remainder.

1, 277

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Greatest Common Divisior

We found the divisors of 12, 346, 277, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 346, 277, 864 is 1.

Therefore, GCD of numbers 12, 346, 277, 864 is 1

Given Input Data is 12, 346, 277, 864

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

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 346 is 2 x 173

Prime Factorization of 277 is 277

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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(12, 346) = 2076

GCD(12, 346) = ( 12 x 346 ) / 2076

GCD(12, 346) = 4152 / 2076

GCD(12, 346) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 277

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

LCM(2, 277) = 554

GCD(2, 277) = ( 2 x 277 ) / 554

GCD(2, 277) = 554 / 554

GCD(2, 277) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 864

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

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

GCD(1, 864) = 864 / 864

GCD(1, 864) = 1

GCD of 12, 346, 277, 864 is 1

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• GCD of 53, 817, 214, 997
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• GCD of 89, 647, 943, 793

1. What is the GCD of 12, 346, 277, 864?

GCD of 12, 346, 277, 864 is 1

2. Where do I get the detailed procedure to find GCD of 12, 346, 277, 864?

You can find a detailed procedure to find GCD of 12, 346, 277, 864 on our page.

3. How to find GCD of 12, 346, 277, 864 on a calculator?

You can find the GCD of 12, 346, 277, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.