GCD of 310, 458, 64, 969 Calculator

Given Input numbers are 310, 458, 64, 969

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

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Greatest Common Divisior

We found the divisors of 310, 458, 64, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 310, 458, 64, 969 is 1.

Therefore, GCD of numbers 310, 458, 64, 969 is 1

Given Input Data is 310, 458, 64, 969

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

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 458 is 2 x 229

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 969 is 3 x 17 x 19

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(310, 458) = 70990

GCD(310, 458) = ( 310 x 458 ) / 70990

GCD(310, 458) = 141980 / 70990

GCD(310, 458) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 64

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

LCM(2, 64) = 64

GCD(2, 64) = ( 2 x 64 ) / 64

GCD(2, 64) = 128 / 64

GCD(2, 64) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 969

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

LCM(2, 969) = 1938

GCD(2, 969) = ( 2 x 969 ) / 1938

GCD(2, 969) = 1938 / 1938

GCD(2, 969) = 1

GCD of 310, 458, 64, 969 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 703, 904, 68, 999
• GCD of 262, 343, 29, 839
• GCD of 634, 408, 18, 929
• GCD of 806, 648, 88, 146
• GCD of 910, 179, 91, 271

1. What is the GCD of 310, 458, 64, 969?

GCD of 310, 458, 64, 969 is 1

2. Where do I get the detailed procedure to find GCD of 310, 458, 64, 969?

You can find a detailed procedure to find GCD of 310, 458, 64, 969 on our page.

3. How to find GCD of 310, 458, 64, 969 on a calculator?

You can find the GCD of 310, 458, 64, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.