GCD of 312, 651, 907, 521 Calculator

Given Input numbers are 312, 651, 907, 521

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 651

List of positive integer divisors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

Divisors of 907

List of positive integer divisors of 907 that divides 907 without a remainder.

1, 907

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Greatest Common Divisior

We found the divisors of 312, 651, 907, 521 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 651, 907, 521 is 1.

Therefore, GCD of numbers 312, 651, 907, 521 is 1

Given Input Data is 312, 651, 907, 521

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 651 is 3 x 7 x 31

Prime Factorization of 907 is 907

Prime Factorization of 521 is 521

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, 651) = 67704

GCD(312, 651) = ( 312 x 651 ) / 67704

GCD(312, 651) = 203112 / 67704

GCD(312, 651) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 907

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

LCM(3, 907) = 2721

GCD(3, 907) = ( 3 x 907 ) / 2721

GCD(3, 907) = 2721 / 2721

GCD(3, 907) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 521

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

LCM(1, 521) = 521

GCD(1, 521) = ( 1 x 521 ) / 521

GCD(1, 521) = 521 / 521

GCD(1, 521) = 1

GCD of 312, 651, 907, 521 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 721, 939, 546, 897
• GCD of 345, 180, 217, 571
• GCD of 734, 541, 610, 376
• GCD of 484, 181, 267, 482
• GCD of 601, 627, 372, 803

1. What is the GCD of 312, 651, 907, 521?

GCD of 312, 651, 907, 521 is 1

2. Where do I get the detailed procedure to find GCD of 312, 651, 907, 521?

You can find a detailed procedure to find GCD of 312, 651, 907, 521 on our page.

3. How to find GCD of 312, 651, 907, 521 on a calculator?

You can find the GCD of 312, 651, 907, 521 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.