GCD of 748, 314, 937, 916 Calculator

Given Input numbers are 748, 314, 937, 916

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

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 937

List of positive integer divisors of 937 that divides 937 without a remainder.

1, 937

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 748, 314, 937, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 314, 937, 916 is 1.

Therefore, GCD of numbers 748, 314, 937, 916 is 1

Given Input Data is 748, 314, 937, 916

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

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 314 is 2 x 157

Prime Factorization of 937 is 937

Prime Factorization of 916 is 2 x 2 x 229

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(748, 314) = 117436

GCD(748, 314) = ( 748 x 314 ) / 117436

GCD(748, 314) = 234872 / 117436

GCD(748, 314) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 937

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

LCM(2, 937) = 1874

GCD(2, 937) = ( 2 x 937 ) / 1874

GCD(2, 937) = 1874 / 1874

GCD(2, 937) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 916

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

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

GCD(1, 916) = 916 / 916

GCD(1, 916) = 1

GCD of 748, 314, 937, 916 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 454, 499, 907, 103
• GCD of 812, 917, 722, 682
• GCD of 347, 682, 590, 321
• GCD of 704, 742, 469, 750
• GCD of 394, 290, 725, 436

1. What is the GCD of 748, 314, 937, 916?

GCD of 748, 314, 937, 916 is 1

2. Where do I get the detailed procedure to find GCD of 748, 314, 937, 916?

You can find a detailed procedure to find GCD of 748, 314, 937, 916 on our page.

3. How to find GCD of 748, 314, 937, 916 on a calculator?

You can find the GCD of 748, 314, 937, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.