GCD of 965, 786, 12, 144 Calculator

Given Input numbers are 965, 786, 12, 144

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

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 12

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

1, 2, 3, 4, 6, 12

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Greatest Common Divisior

We found the divisors of 965, 786, 12, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 965, 786, 12, 144 is 1.

Therefore, GCD of numbers 965, 786, 12, 144 is 1

Given Input Data is 965, 786, 12, 144

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

Prime Factorization of 965 is 5 x 193

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 144 is 2 x 2 x 2 x 2 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(965, 786) = 758490

GCD(965, 786) = ( 965 x 786 ) / 758490

GCD(965, 786) = 758490 / 758490

GCD(965, 786) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 12

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

LCM(1, 12) = 12

GCD(1, 12) = ( 1 x 12 ) / 12

GCD(1, 12) = 12 / 12

GCD(1, 12) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

GCD of 965, 786, 12, 144 is 1

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1. What is the GCD of 965, 786, 12, 144?

GCD of 965, 786, 12, 144 is 1

2. Where do I get the detailed procedure to find GCD of 965, 786, 12, 144?

You can find a detailed procedure to find GCD of 965, 786, 12, 144 on our page.

3. How to find GCD of 965, 786, 12, 144 on a calculator?

You can find the GCD of 965, 786, 12, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.