GCD of 490, 722, 92, 720 Calculator

Given Input numbers are 490, 722, 92, 720

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

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 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Greatest Common Divisior

We found the divisors of 490, 722, 92, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 722, 92, 720 is 2.

Therefore, GCD of numbers 490, 722, 92, 720 is 2

Given Input Data is 490, 722, 92, 720

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

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

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

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(490, 722) = 176890

GCD(490, 722) = ( 490 x 722 ) / 176890

GCD(490, 722) = 353780 / 176890

GCD(490, 722) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 92

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

LCM(2, 92) = 92

GCD(2, 92) = ( 2 x 92 ) / 92

GCD(2, 92) = 184 / 92

GCD(2, 92) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 720

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

LCM(2, 720) = 720

GCD(2, 720) = ( 2 x 720 ) / 720

GCD(2, 720) = 1440 / 720

GCD(2, 720) = 2

GCD of 490, 722, 92, 720 is 2

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• GCD of 535, 297, 36, 325

1. What is the GCD of 490, 722, 92, 720?

GCD of 490, 722, 92, 720 is 2

2. Where do I get the detailed procedure to find GCD of 490, 722, 92, 720?

You can find a detailed procedure to find GCD of 490, 722, 92, 720 on our page.

3. How to find GCD of 490, 722, 92, 720 on a calculator?

You can find the GCD of 490, 722, 92, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.