GCD of 420, 210, 58, 141 Calculator

Given Input numbers are 420, 210, 58, 141

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

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 58

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

1, 2, 29, 58

Divisors of 141

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

1, 3, 47, 141

Greatest Common Divisior

We found the divisors of 420, 210, 58, 141 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 210, 58, 141 is 1.

Therefore, GCD of numbers 420, 210, 58, 141 is 1

Given Input Data is 420, 210, 58, 141

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

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 58 is 2 x 29

Prime Factorization of 141 is 3 x 47

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(420, 210) = 420

GCD(420, 210) = ( 420 x 210 ) / 420

GCD(420, 210) = 88200 / 420

GCD(420, 210) = 210

Step2:

Here we consider the GCD from the above i.e. 210 as first number and the next as 58

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

LCM(210, 58) = 6090

GCD(210, 58) = ( 210 x 58 ) / 6090

GCD(210, 58) = 12180 / 6090

GCD(210, 58) = 2

Step3:

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

GCD of 420, 210, 58, 141 is 1

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• GCD of 651, 541, 19, 367
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1. What is the GCD of 420, 210, 58, 141?

GCD of 420, 210, 58, 141 is 1

2. Where do I get the detailed procedure to find GCD of 420, 210, 58, 141?

You can find a detailed procedure to find GCD of 420, 210, 58, 141 on our page.

3. How to find GCD of 420, 210, 58, 141 on a calculator?

You can find the GCD of 420, 210, 58, 141 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.