GCD of 142, 369, 58, 490 Calculator

Given Input numbers are 142, 369, 58, 490

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

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

Greatest Common Divisior

We found the divisors of 142, 369, 58, 490 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 369, 58, 490 is 1.

Therefore, GCD of numbers 142, 369, 58, 490 is 1

Given Input Data is 142, 369, 58, 490

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 142 is 2 x 71

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 58 is 2 x 29

Prime Factorization of 490 is 2 x 5 x 7 x 7

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(142, 369) = 52398

GCD(142, 369) = ( 142 x 369 ) / 52398

GCD(142, 369) = 52398 / 52398

GCD(142, 369) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 490

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

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

GCD(1, 490) = 490 / 490

GCD(1, 490) = 1

GCD of 142, 369, 58, 490 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 947, 212, 88, 319
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• GCD of 224, 387, 81, 345
• GCD of 890, 104, 55, 427

1. What is the GCD of 142, 369, 58, 490?

GCD of 142, 369, 58, 490 is 1

2. Where do I get the detailed procedure to find GCD of 142, 369, 58, 490?

You can find a detailed procedure to find GCD of 142, 369, 58, 490 on our page.

3. How to find GCD of 142, 369, 58, 490 on a calculator?

You can find the GCD of 142, 369, 58, 490 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.