GCD of 12, 649, 771, 345 Calculator

Given Input numbers are 12, 649, 771, 345

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 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

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 12, 649, 771, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 649, 771, 345 is 1.

Therefore, GCD of numbers 12, 649, 771, 345 is 1

Given Input Data is 12, 649, 771, 345

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 649 is 11 x 59

Prime Factorization of 771 is 3 x 257

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(12, 649) = 7788

GCD(12, 649) = ( 12 x 649 ) / 7788

GCD(12, 649) = 7788 / 7788

GCD(12, 649) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 771

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

LCM(1, 771) = 771

GCD(1, 771) = ( 1 x 771 ) / 771

GCD(1, 771) = 771 / 771

GCD(1, 771) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 345

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

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

GCD(1, 345) = 345 / 345

GCD(1, 345) = 1

GCD of 12, 649, 771, 345 is 1

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• GCD of 96, 993, 453, 439
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1. What is the GCD of 12, 649, 771, 345?

GCD of 12, 649, 771, 345 is 1

2. Where do I get the detailed procedure to find GCD of 12, 649, 771, 345?

You can find a detailed procedure to find GCD of 12, 649, 771, 345 on our page.

3. How to find GCD of 12, 649, 771, 345 on a calculator?

You can find the GCD of 12, 649, 771, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.