GCD of 490, 412, 141, 409 Calculator

Given Input numbers are 490, 412, 141, 409

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 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Greatest Common Divisior

We found the divisors of 490, 412, 141, 409 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 412, 141, 409 is 1.

Therefore, GCD of numbers 490, 412, 141, 409 is 1

Given Input Data is 490, 412, 141, 409

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 412 is 2 x 2 x 103

Prime Factorization of 141 is 3 x 47

Prime Factorization of 409 is 409

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, 412) = 100940

GCD(490, 412) = ( 490 x 412 ) / 100940

GCD(490, 412) = 201880 / 100940

GCD(490, 412) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 141

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

LCM(2, 141) = 282

GCD(2, 141) = ( 2 x 141 ) / 282

GCD(2, 141) = 282 / 282

GCD(2, 141) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 409

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

LCM(1, 409) = 409

GCD(1, 409) = ( 1 x 409 ) / 409

GCD(1, 409) = 409 / 409

GCD(1, 409) = 1

GCD of 490, 412, 141, 409 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 875, 471, 954, 381
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• GCD of 840, 516, 545, 379
• GCD of 595, 322, 169, 934
• GCD of 310, 200, 208, 880

1. What is the GCD of 490, 412, 141, 409?

GCD of 490, 412, 141, 409 is 1

2. Where do I get the detailed procedure to find GCD of 490, 412, 141, 409?

You can find a detailed procedure to find GCD of 490, 412, 141, 409 on our page.

3. How to find GCD of 490, 412, 141, 409 on a calculator?

You can find the GCD of 490, 412, 141, 409 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.