GCD of 648, 156, 307, 964 Calculator

Given Input numbers are 648, 156, 307, 964

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

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Greatest Common Divisior

We found the divisors of 648, 156, 307, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 156, 307, 964 is 1.

Therefore, GCD of numbers 648, 156, 307, 964 is 1

Given Input Data is 648, 156, 307, 964

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

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 307 is 307

Prime Factorization of 964 is 2 x 2 x 241

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(648, 156) = 8424

GCD(648, 156) = ( 648 x 156 ) / 8424

GCD(648, 156) = 101088 / 8424

GCD(648, 156) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 307

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

LCM(12, 307) = 3684

GCD(12, 307) = ( 12 x 307 ) / 3684

GCD(12, 307) = 3684 / 3684

GCD(12, 307) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 964

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

LCM(1, 964) = 964

GCD(1, 964) = ( 1 x 964 ) / 964

GCD(1, 964) = 964 / 964

GCD(1, 964) = 1

GCD of 648, 156, 307, 964 is 1

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1. What is the GCD of 648, 156, 307, 964?

GCD of 648, 156, 307, 964 is 1

2. Where do I get the detailed procedure to find GCD of 648, 156, 307, 964?

You can find a detailed procedure to find GCD of 648, 156, 307, 964 on our page.

3. How to find GCD of 648, 156, 307, 964 on a calculator?

You can find the GCD of 648, 156, 307, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.