GCD of 344, 820, 968, 736 Calculator

Given Input numbers are 344, 820, 968, 736

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

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Greatest Common Divisior

We found the divisors of 344, 820, 968, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 820, 968, 736 is 4.

Therefore, GCD of numbers 344, 820, 968, 736 is 4

Given Input Data is 344, 820, 968, 736

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

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(344, 820) = 70520

GCD(344, 820) = ( 344 x 820 ) / 70520

GCD(344, 820) = 282080 / 70520

GCD(344, 820) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 968

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

LCM(4, 968) = 968

GCD(4, 968) = ( 4 x 968 ) / 968

GCD(4, 968) = 3872 / 968

GCD(4, 968) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 736

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

LCM(4, 736) = 736

GCD(4, 736) = ( 4 x 736 ) / 736

GCD(4, 736) = 2944 / 736

GCD(4, 736) = 4

GCD of 344, 820, 968, 736 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 153, 978, 937, 566
• GCD of 705, 758, 575, 923
• GCD of 671, 567, 981, 985
• GCD of 386, 338, 856, 530
• GCD of 724, 780, 474, 534

1. What is the GCD of 344, 820, 968, 736?

GCD of 344, 820, 968, 736 is 4

2. Where do I get the detailed procedure to find GCD of 344, 820, 968, 736?

You can find a detailed procedure to find GCD of 344, 820, 968, 736 on our page.

3. How to find GCD of 344, 820, 968, 736 on a calculator?

You can find the GCD of 344, 820, 968, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.