GCD of 508, 276, 142, 421 Calculator

Given Input numbers are 508, 276, 142, 421

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

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 142

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

1, 2, 71, 142

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Greatest Common Divisior

We found the divisors of 508, 276, 142, 421 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 508, 276, 142, 421 is 1.

Therefore, GCD of numbers 508, 276, 142, 421 is 1

Given Input Data is 508, 276, 142, 421

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

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 276 is 2 x 2 x 3 x 23

Prime Factorization of 142 is 2 x 71

Prime Factorization of 421 is 421

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(508, 276) = 35052

GCD(508, 276) = ( 508 x 276 ) / 35052

GCD(508, 276) = 140208 / 35052

GCD(508, 276) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 142

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

LCM(4, 142) = 284

GCD(4, 142) = ( 4 x 142 ) / 284

GCD(4, 142) = 568 / 284

GCD(4, 142) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 421

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

LCM(2, 421) = 842

GCD(2, 421) = ( 2 x 421 ) / 842

GCD(2, 421) = 842 / 842

GCD(2, 421) = 1

GCD of 508, 276, 142, 421 is 1

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1. What is the GCD of 508, 276, 142, 421?

GCD of 508, 276, 142, 421 is 1

2. Where do I get the detailed procedure to find GCD of 508, 276, 142, 421?

You can find a detailed procedure to find GCD of 508, 276, 142, 421 on our page.

3. How to find GCD of 508, 276, 142, 421 on a calculator?

You can find the GCD of 508, 276, 142, 421 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.