GCD of 764, 314, 65, 578 Calculator

Given Input numbers are 764, 314, 65, 578

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

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 314

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

1, 2, 157, 314

Divisors of 65

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

1, 5, 13, 65

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Greatest Common Divisior

We found the divisors of 764, 314, 65, 578 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 764, 314, 65, 578 is 1.

Therefore, GCD of numbers 764, 314, 65, 578 is 1

Given Input Data is 764, 314, 65, 578

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

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 314 is 2 x 157

Prime Factorization of 65 is 5 x 13

Prime Factorization of 578 is 2 x 17 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(764, 314) = 119948

GCD(764, 314) = ( 764 x 314 ) / 119948

GCD(764, 314) = 239896 / 119948

GCD(764, 314) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 65

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

LCM(2, 65) = 130

GCD(2, 65) = ( 2 x 65 ) / 130

GCD(2, 65) = 130 / 130

GCD(2, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 578

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

LCM(1, 578) = 578

GCD(1, 578) = ( 1 x 578 ) / 578

GCD(1, 578) = 578 / 578

GCD(1, 578) = 1

GCD of 764, 314, 65, 578 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 657, 927, 44, 562
• GCD of 827, 288, 46, 709
• GCD of 533, 224, 65, 760
• GCD of 112, 626, 67, 623
• GCD of 915, 415, 49, 524

1. What is the GCD of 764, 314, 65, 578?

GCD of 764, 314, 65, 578 is 1

2. Where do I get the detailed procedure to find GCD of 764, 314, 65, 578?

You can find a detailed procedure to find GCD of 764, 314, 65, 578 on our page.

3. How to find GCD of 764, 314, 65, 578 on a calculator?

You can find the GCD of 764, 314, 65, 578 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.