GCD of 312, 148, 65, 371 Calculator

Given Input numbers are 312, 148, 65, 371

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 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Greatest Common Divisior

We found the divisors of 312, 148, 65, 371 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 148, 65, 371 is 1.

Therefore, GCD of numbers 312, 148, 65, 371 is 1

Given Input Data is 312, 148, 65, 371

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 148 is 2 x 2 x 37

Prime Factorization of 65 is 5 x 13

Prime Factorization of 371 is 7 x 53

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, 148) = 11544

GCD(312, 148) = ( 312 x 148 ) / 11544

GCD(312, 148) = 46176 / 11544

GCD(312, 148) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 65

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

LCM(4, 65) = 260

GCD(4, 65) = ( 4 x 65 ) / 260

GCD(4, 65) = 260 / 260

GCD(4, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 371

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

LCM(1, 371) = 371

GCD(1, 371) = ( 1 x 371 ) / 371

GCD(1, 371) = 371 / 371

GCD(1, 371) = 1

GCD of 312, 148, 65, 371 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 370, 111, 48, 591
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• GCD of 546, 933, 27, 730

1. What is the GCD of 312, 148, 65, 371?

GCD of 312, 148, 65, 371 is 1

2. Where do I get the detailed procedure to find GCD of 312, 148, 65, 371?

You can find a detailed procedure to find GCD of 312, 148, 65, 371 on our page.

3. How to find GCD of 312, 148, 65, 371 on a calculator?

You can find the GCD of 312, 148, 65, 371 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.