GCD of 710, 556, 896, 348 Calculator

Given Input numbers are 710, 556, 896, 348

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

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Greatest Common Divisior

We found the divisors of 710, 556, 896, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 710, 556, 896, 348 is 2.

Therefore, GCD of numbers 710, 556, 896, 348 is 2

Given Input Data is 710, 556, 896, 348

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

Prime Factorization of 710 is 2 x 5 x 71

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 348 is 2 x 2 x 3 x 29

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(710, 556) = 197380

GCD(710, 556) = ( 710 x 556 ) / 197380

GCD(710, 556) = 394760 / 197380

GCD(710, 556) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 896

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

LCM(2, 896) = 896

GCD(2, 896) = ( 2 x 896 ) / 896

GCD(2, 896) = 1792 / 896

GCD(2, 896) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 348

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

LCM(2, 348) = 348

GCD(2, 348) = ( 2 x 348 ) / 348

GCD(2, 348) = 696 / 348

GCD(2, 348) = 2

GCD of 710, 556, 896, 348 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 286, 504, 842, 685
• GCD of 362, 746, 431, 106
• GCD of 366, 653, 472, 359
• GCD of 453, 959, 949, 940
• GCD of 284, 510, 981, 423

1. What is the GCD of 710, 556, 896, 348?

GCD of 710, 556, 896, 348 is 2

2. Where do I get the detailed procedure to find GCD of 710, 556, 896, 348?

You can find a detailed procedure to find GCD of 710, 556, 896, 348 on our page.

3. How to find GCD of 710, 556, 896, 348 on a calculator?

You can find the GCD of 710, 556, 896, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.