GCD of 312, 670, 15, 963 Calculator

Given Input numbers are 312, 670, 15, 963

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Greatest Common Divisior

We found the divisors of 312, 670, 15, 963 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 670, 15, 963 is 1.

Therefore, GCD of numbers 312, 670, 15, 963 is 1

Given Input Data is 312, 670, 15, 963

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 670 is 2 x 5 x 67

Prime Factorization of 15 is 3 x 5

Prime Factorization of 963 is 3 x 3 x 107

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(312, 670) = 104520

GCD(312, 670) = ( 312 x 670 ) / 104520

GCD(312, 670) = 209040 / 104520

GCD(312, 670) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 15

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

LCM(2, 15) = 30

GCD(2, 15) = ( 2 x 15 ) / 30

GCD(2, 15) = 30 / 30

GCD(2, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 963

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

LCM(1, 963) = 963

GCD(1, 963) = ( 1 x 963 ) / 963

GCD(1, 963) = 963 / 963

GCD(1, 963) = 1

GCD of 312, 670, 15, 963 is 1

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1. What is the GCD of 312, 670, 15, 963?

GCD of 312, 670, 15, 963 is 1

2. Where do I get the detailed procedure to find GCD of 312, 670, 15, 963?

You can find a detailed procedure to find GCD of 312, 670, 15, 963 on our page.

3. How to find GCD of 312, 670, 15, 963 on a calculator?

You can find the GCD of 312, 670, 15, 963 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.