GCD of 490, 980, 152, 894 Calculator

Given Input numbers are 490, 980, 152, 894

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 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Greatest Common Divisior

We found the divisors of 490, 980, 152, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 980, 152, 894 is 2.

Therefore, GCD of numbers 490, 980, 152, 894 is 2

Given Input Data is 490, 980, 152, 894

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 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 894 is 2 x 3 x 149

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, 980) = 980

GCD(490, 980) = ( 490 x 980 ) / 980

GCD(490, 980) = 480200 / 980

GCD(490, 980) = 490

Step2:

Here we consider the GCD from the above i.e. 490 as first number and the next as 152

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

LCM(490, 152) = 37240

GCD(490, 152) = ( 490 x 152 ) / 37240

GCD(490, 152) = 74480 / 37240

GCD(490, 152) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 894

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

LCM(2, 894) = 894

GCD(2, 894) = ( 2 x 894 ) / 894

GCD(2, 894) = 1788 / 894

GCD(2, 894) = 2

GCD of 490, 980, 152, 894 is 2

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1. What is the GCD of 490, 980, 152, 894?

GCD of 490, 980, 152, 894 is 2

2. Where do I get the detailed procedure to find GCD of 490, 980, 152, 894?

You can find a detailed procedure to find GCD of 490, 980, 152, 894 on our page.

3. How to find GCD of 490, 980, 152, 894 on a calculator?

You can find the GCD of 490, 980, 152, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.