GCD of 314, 837, 58, 748 Calculator

Given Input numbers are 314, 837, 58, 748

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

Divisors of 314

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

1, 2, 157, 314

Divisors of 837

List of positive integer divisors of 837 that divides 837 without a remainder.

1, 3, 9, 27, 31, 93, 279, 837

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

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

Greatest Common Divisior

We found the divisors of 314, 837, 58, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 837, 58, 748 is 1.

Therefore, GCD of numbers 314, 837, 58, 748 is 1

Given Input Data is 314, 837, 58, 748

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 837 is 3 x 3 x 3 x 31

Prime Factorization of 58 is 2 x 29

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

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(314, 837) = 262818

GCD(314, 837) = ( 314 x 837 ) / 262818

GCD(314, 837) = 262818 / 262818

GCD(314, 837) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

GCD of 314, 837, 58, 748 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 416, 579, 89, 455
• GCD of 984, 100, 26, 277
• GCD of 450, 777, 80, 882
• GCD of 399, 854, 83, 118
• GCD of 386, 940, 40, 920

1. What is the GCD of 314, 837, 58, 748?

GCD of 314, 837, 58, 748 is 1

2. Where do I get the detailed procedure to find GCD of 314, 837, 58, 748?

You can find a detailed procedure to find GCD of 314, 837, 58, 748 on our page.

3. How to find GCD of 314, 837, 58, 748 on a calculator?

You can find the GCD of 314, 837, 58, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.