GCD of 490, 200, 620 Calculator

Given Input numbers are 490, 200, 620

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 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 620

List of positive integer divisors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Greatest Common Divisior

We found the divisors of 490, 200, 620 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 200, 620 is 10.

Therefore, GCD of numbers 490, 200, 620 is 10

Given Input Data is 490, 200, 620

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 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 620 is 2 x 2 x 5 x 31

Highest common occurrences in the given inputs are 2¹ x 5¹

Multiplying them we get the GCD as 10

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, 200) = 9800

GCD(490, 200) = ( 490 x 200 ) / 9800

GCD(490, 200) = 98000 / 9800

GCD(490, 200) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 620

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

LCM(10, 620) = 620

GCD(10, 620) = ( 10 x 620 ) / 620

GCD(10, 620) = 6200 / 620

GCD(10, 620) = 10

GCD of 490, 200, 620 is 10

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1. What is the GCD of 490, 200, 620?

GCD of 490, 200, 620 is 10

2. Where do I get the detailed procedure to find GCD of 490, 200, 620?

You can find a detailed procedure to find GCD of 490, 200, 620 on our page.

3. How to find GCD of 490, 200, 620 on a calculator?

You can find the GCD of 490, 200, 620 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.