GCD of 696, 490, 220, 322 Calculator

Given Input numbers are 696, 490, 220, 322

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

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Greatest Common Divisior

We found the divisors of 696, 490, 220, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 490, 220, 322 is 2.

Therefore, GCD of numbers 696, 490, 220, 322 is 2

Given Input Data is 696, 490, 220, 322

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

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 322 is 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(696, 490) = 170520

GCD(696, 490) = ( 696 x 490 ) / 170520

GCD(696, 490) = 341040 / 170520

GCD(696, 490) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 220

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

LCM(2, 220) = 220

GCD(2, 220) = ( 2 x 220 ) / 220

GCD(2, 220) = 440 / 220

GCD(2, 220) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 322

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

LCM(2, 322) = 322

GCD(2, 322) = ( 2 x 322 ) / 322

GCD(2, 322) = 644 / 322

GCD(2, 322) = 2

GCD of 696, 490, 220, 322 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 291, 147, 644, 305
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1. What is the GCD of 696, 490, 220, 322?

GCD of 696, 490, 220, 322 is 2

2. Where do I get the detailed procedure to find GCD of 696, 490, 220, 322?

You can find a detailed procedure to find GCD of 696, 490, 220, 322 on our page.

3. How to find GCD of 696, 490, 220, 322 on a calculator?

You can find the GCD of 696, 490, 220, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.