GCD of 354, 508, 11, 127 Calculator

Given Input numbers are 354, 508, 11, 127

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

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 508

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

1, 2, 4, 127, 254, 508

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 127

List of positive integer divisors of 127 that divides 127 without a remainder.

1, 127

Greatest Common Divisior

We found the divisors of 354, 508, 11, 127 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 508, 11, 127 is 1.

Therefore, GCD of numbers 354, 508, 11, 127 is 1

Given Input Data is 354, 508, 11, 127

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

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 11 is 11

Prime Factorization of 127 is 127

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(354, 508) = 89916

GCD(354, 508) = ( 354 x 508 ) / 89916

GCD(354, 508) = 179832 / 89916

GCD(354, 508) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 11

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

LCM(2, 11) = 22

GCD(2, 11) = ( 2 x 11 ) / 22

GCD(2, 11) = 22 / 22

GCD(2, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 127

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

LCM(1, 127) = 127

GCD(1, 127) = ( 1 x 127 ) / 127

GCD(1, 127) = 127 / 127

GCD(1, 127) = 1

GCD of 354, 508, 11, 127 is 1

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1. What is the GCD of 354, 508, 11, 127?

GCD of 354, 508, 11, 127 is 1

2. Where do I get the detailed procedure to find GCD of 354, 508, 11, 127?

You can find a detailed procedure to find GCD of 354, 508, 11, 127 on our page.

3. How to find GCD of 354, 508, 11, 127 on a calculator?

You can find the GCD of 354, 508, 11, 127 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.