GCD of 706, 820, 88, 644 Calculator

Given Input numbers are 706, 820, 88, 644

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

Divisors of 706

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

1, 2, 353, 706

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 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Greatest Common Divisior

We found the divisors of 706, 820, 88, 644 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 820, 88, 644 is 2.

Therefore, GCD of numbers 706, 820, 88, 644 is 2

Given Input Data is 706, 820, 88, 644

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

Prime Factorization of 706 is 2 x 353

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

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 644 is 2 x 2 x 7 x 23

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(706, 820) = 289460

GCD(706, 820) = ( 706 x 820 ) / 289460

GCD(706, 820) = 578920 / 289460

GCD(706, 820) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 88

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

LCM(2, 88) = 88

GCD(2, 88) = ( 2 x 88 ) / 88

GCD(2, 88) = 176 / 88

GCD(2, 88) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 644

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

LCM(2, 644) = 644

GCD(2, 644) = ( 2 x 644 ) / 644

GCD(2, 644) = 1288 / 644

GCD(2, 644) = 2

GCD of 706, 820, 88, 644 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 636, 660, 27, 640
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• GCD of 160, 388, 75, 371

1. What is the GCD of 706, 820, 88, 644?

GCD of 706, 820, 88, 644 is 2

2. Where do I get the detailed procedure to find GCD of 706, 820, 88, 644?

You can find a detailed procedure to find GCD of 706, 820, 88, 644 on our page.

3. How to find GCD of 706, 820, 88, 644 on a calculator?

You can find the GCD of 706, 820, 88, 644 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.