GCD of 490, 342, 72, 158 Calculator

Given Input numbers are 490, 342, 72, 158

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 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Greatest Common Divisior

We found the divisors of 490, 342, 72, 158 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 342, 72, 158 is 2.

Therefore, GCD of numbers 490, 342, 72, 158 is 2

Given Input Data is 490, 342, 72, 158

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 342 is 2 x 3 x 3 x 19

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 158 is 2 x 79

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, 342) = 83790

GCD(490, 342) = ( 490 x 342 ) / 83790

GCD(490, 342) = 167580 / 83790

GCD(490, 342) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 72

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

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

GCD(2, 72) = 144 / 72

GCD(2, 72) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 158

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

LCM(2, 158) = 158

GCD(2, 158) = ( 2 x 158 ) / 158

GCD(2, 158) = 316 / 158

GCD(2, 158) = 2

GCD of 490, 342, 72, 158 is 2

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1. What is the GCD of 490, 342, 72, 158?

GCD of 490, 342, 72, 158 is 2

2. Where do I get the detailed procedure to find GCD of 490, 342, 72, 158?

You can find a detailed procedure to find GCD of 490, 342, 72, 158 on our page.

3. How to find GCD of 490, 342, 72, 158 on a calculator?

You can find the GCD of 490, 342, 72, 158 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.