GCD of 490, 550, 254, 188 Calculator

Given Input numbers are 490, 550, 254, 188

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 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Greatest Common Divisior

We found the divisors of 490, 550, 254, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 550, 254, 188 is 2.

Therefore, GCD of numbers 490, 550, 254, 188 is 2

Given Input Data is 490, 550, 254, 188

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 550 is 2 x 5 x 5 x 11

Prime Factorization of 254 is 2 x 127

Prime Factorization of 188 is 2 x 2 x 47

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, 550) = 26950

GCD(490, 550) = ( 490 x 550 ) / 26950

GCD(490, 550) = 269500 / 26950

GCD(490, 550) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 254

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

LCM(10, 254) = 1270

GCD(10, 254) = ( 10 x 254 ) / 1270

GCD(10, 254) = 2540 / 1270

GCD(10, 254) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 188

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

LCM(2, 188) = 188

GCD(2, 188) = ( 2 x 188 ) / 188

GCD(2, 188) = 376 / 188

GCD(2, 188) = 2

GCD of 490, 550, 254, 188 is 2

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1. What is the GCD of 490, 550, 254, 188?

GCD of 490, 550, 254, 188 is 2

2. Where do I get the detailed procedure to find GCD of 490, 550, 254, 188?

You can find a detailed procedure to find GCD of 490, 550, 254, 188 on our page.

3. How to find GCD of 490, 550, 254, 188 on a calculator?

You can find the GCD of 490, 550, 254, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.