GCD of 313, 284, 77, 964 Calculator

Given Input numbers are 313, 284, 77, 964

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

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Greatest Common Divisior

We found the divisors of 313, 284, 77, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 284, 77, 964 is 1.

Therefore, GCD of numbers 313, 284, 77, 964 is 1

Given Input Data is 313, 284, 77, 964

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

Prime Factorization of 313 is 313

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 77 is 7 x 11

Prime Factorization of 964 is 2 x 2 x 241

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(313, 284) = 88892

GCD(313, 284) = ( 313 x 284 ) / 88892

GCD(313, 284) = 88892 / 88892

GCD(313, 284) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 964

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

LCM(1, 964) = 964

GCD(1, 964) = ( 1 x 964 ) / 964

GCD(1, 964) = 964 / 964

GCD(1, 964) = 1

GCD of 313, 284, 77, 964 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 536, 491, 23, 594
• GCD of 763, 962, 94, 643
• GCD of 274, 959, 62, 440
• GCD of 367, 152, 84, 325
• GCD of 578, 177, 97, 775

1. What is the GCD of 313, 284, 77, 964?

GCD of 313, 284, 77, 964 is 1

2. Where do I get the detailed procedure to find GCD of 313, 284, 77, 964?

You can find a detailed procedure to find GCD of 313, 284, 77, 964 on our page.

3. How to find GCD of 313, 284, 77, 964 on a calculator?

You can find the GCD of 313, 284, 77, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.