GCD of 764, 944, 706, 314 Calculator

Given Input numbers are 764, 944, 706, 314

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 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 314

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

1, 2, 157, 314

Greatest Common Divisior

We found the divisors of 764, 944, 706, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 764, 944, 706, 314 is 2.

Therefore, GCD of numbers 764, 944, 706, 314 is 2

Given Input Data is 764, 944, 706, 314

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 944 is 2 x 2 x 2 x 2 x 59

Prime Factorization of 706 is 2 x 353

Prime Factorization of 314 is 2 x 157

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 944) = 180304

GCD(764, 944) = ( 764 x 944 ) / 180304

GCD(764, 944) = 721216 / 180304

GCD(764, 944) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 706

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

LCM(4, 706) = 1412

GCD(4, 706) = ( 4 x 706 ) / 1412

GCD(4, 706) = 2824 / 1412

GCD(4, 706) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 314

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

LCM(2, 314) = 314

GCD(2, 314) = ( 2 x 314 ) / 314

GCD(2, 314) = 628 / 314

GCD(2, 314) = 2

GCD of 764, 944, 706, 314 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 113, 454, 260, 689
• GCD of 564, 575, 731, 888
• GCD of 705, 610, 978, 598
• GCD of 511, 558, 119, 127
• GCD of 353, 883, 524, 204

1. What is the GCD of 764, 944, 706, 314?

GCD of 764, 944, 706, 314 is 2

2. Where do I get the detailed procedure to find GCD of 764, 944, 706, 314?

You can find a detailed procedure to find GCD of 764, 944, 706, 314 on our page.

3. How to find GCD of 764, 944, 706, 314 on a calculator?

You can find the GCD of 764, 944, 706, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.