GCD of 490, 889, 374 Calculator

Given Input numbers are 490, 889, 374

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 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Greatest Common Divisior

We found the divisors of 490, 889, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 889, 374 is 1.

Therefore, GCD of numbers 490, 889, 374 is 1

Given Input Data is 490, 889, 374

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 889 is 7 x 127

Prime Factorization of 374 is 2 x 11 x 17

The above numbers do not have any common prime factor. So GCD is 1

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, 889) = 62230

GCD(490, 889) = ( 490 x 889 ) / 62230

GCD(490, 889) = 435610 / 62230

GCD(490, 889) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 374

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

LCM(7, 374) = 2618

GCD(7, 374) = ( 7 x 374 ) / 2618

GCD(7, 374) = 2618 / 2618

GCD(7, 374) = 1

GCD of 490, 889, 374 is 1

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1. What is the GCD of 490, 889, 374?

GCD of 490, 889, 374 is 1

2. Where do I get the detailed procedure to find GCD of 490, 889, 374?

You can find a detailed procedure to find GCD of 490, 889, 374 on our page.

3. How to find GCD of 490, 889, 374 on a calculator?

You can find the GCD of 490, 889, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.