GCD of 312, 871, 64, 914 Calculator

Given Input numbers are 312, 871, 64, 914

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 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 312, 871, 64, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 871, 64, 914 is 1.

Therefore, GCD of numbers 312, 871, 64, 914 is 1

Given Input Data is 312, 871, 64, 914

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 871 is 13 x 67

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 914 is 2 x 457

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, 871) = 20904

GCD(312, 871) = ( 312 x 871 ) / 20904

GCD(312, 871) = 271752 / 20904

GCD(312, 871) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 64

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

LCM(13, 64) = 832

GCD(13, 64) = ( 13 x 64 ) / 832

GCD(13, 64) = 832 / 832

GCD(13, 64) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

GCD of 312, 871, 64, 914 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 589, 299, 63, 651
• GCD of 826, 137, 11, 912
• GCD of 413, 932, 11, 450
• GCD of 309, 956, 42, 970
• GCD of 275, 842, 13, 987

1. What is the GCD of 312, 871, 64, 914?

GCD of 312, 871, 64, 914 is 1

2. Where do I get the detailed procedure to find GCD of 312, 871, 64, 914?

You can find a detailed procedure to find GCD of 312, 871, 64, 914 on our page.

3. How to find GCD of 312, 871, 64, 914 on a calculator?

You can find the GCD of 312, 871, 64, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.