GCD of 312, 965, 41, 409 Calculator

Given Input numbers are 312, 965, 41, 409

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 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Greatest Common Divisior

We found the divisors of 312, 965, 41, 409 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 965, 41, 409 is 1.

Therefore, GCD of numbers 312, 965, 41, 409 is 1

Given Input Data is 312, 965, 41, 409

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 965 is 5 x 193

Prime Factorization of 41 is 41

Prime Factorization of 409 is 409

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, 965) = 301080

GCD(312, 965) = ( 312 x 965 ) / 301080

GCD(312, 965) = 301080 / 301080

GCD(312, 965) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

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

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 409

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

LCM(1, 409) = 409

GCD(1, 409) = ( 1 x 409 ) / 409

GCD(1, 409) = 409 / 409

GCD(1, 409) = 1

GCD of 312, 965, 41, 409 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 453, 879, 62, 108
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• GCD of 468, 529, 39, 942
• GCD of 152, 488, 37, 423
• GCD of 922, 511, 26, 940

1. What is the GCD of 312, 965, 41, 409?

GCD of 312, 965, 41, 409 is 1

2. Where do I get the detailed procedure to find GCD of 312, 965, 41, 409?

You can find a detailed procedure to find GCD of 312, 965, 41, 409 on our page.

3. How to find GCD of 312, 965, 41, 409 on a calculator?

You can find the GCD of 312, 965, 41, 409 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.