GCD of 452, 294, 490, 710 Calculator

Given Input numbers are 452, 294, 490, 710

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

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

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 710

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

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

Greatest Common Divisior

We found the divisors of 452, 294, 490, 710 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 452, 294, 490, 710 is 2.

Therefore, GCD of numbers 452, 294, 490, 710 is 2

Given Input Data is 452, 294, 490, 710

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

Prime Factorization of 452 is 2 x 2 x 113

Prime Factorization of 294 is 2 x 3 x 7 x 7

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

Prime Factorization of 710 is 2 x 5 x 71

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(452, 294) = 66444

GCD(452, 294) = ( 452 x 294 ) / 66444

GCD(452, 294) = 132888 / 66444

GCD(452, 294) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 490

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

LCM(2, 490) = 490

GCD(2, 490) = ( 2 x 490 ) / 490

GCD(2, 490) = 980 / 490

GCD(2, 490) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 710

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

LCM(2, 710) = 710

GCD(2, 710) = ( 2 x 710 ) / 710

GCD(2, 710) = 1420 / 710

GCD(2, 710) = 2

GCD of 452, 294, 490, 710 is 2

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1. What is the GCD of 452, 294, 490, 710?

GCD of 452, 294, 490, 710 is 2

2. Where do I get the detailed procedure to find GCD of 452, 294, 490, 710?

You can find a detailed procedure to find GCD of 452, 294, 490, 710 on our page.

3. How to find GCD of 452, 294, 490, 710 on a calculator?

You can find the GCD of 452, 294, 490, 710 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.