GCD of 548, 577, 100, 401 Calculator

Given Input numbers are 548, 577, 100, 401

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

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Greatest Common Divisior

We found the divisors of 548, 577, 100, 401 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 548, 577, 100, 401 is 1.

Therefore, GCD of numbers 548, 577, 100, 401 is 1

Given Input Data is 548, 577, 100, 401

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

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 577 is 577

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 401 is 401

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(548, 577) = 316196

GCD(548, 577) = ( 548 x 577 ) / 316196

GCD(548, 577) = 316196 / 316196

GCD(548, 577) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 401

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

LCM(1, 401) = 401

GCD(1, 401) = ( 1 x 401 ) / 401

GCD(1, 401) = 401 / 401

GCD(1, 401) = 1

GCD of 548, 577, 100, 401 is 1

Here are some samples of GCD of Numbers calculations.

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• GCD of 738, 189, 870, 456

1. What is the GCD of 548, 577, 100, 401?

GCD of 548, 577, 100, 401 is 1

2. Where do I get the detailed procedure to find GCD of 548, 577, 100, 401?

You can find a detailed procedure to find GCD of 548, 577, 100, 401 on our page.

3. How to find GCD of 548, 577, 100, 401 on a calculator?

You can find the GCD of 548, 577, 100, 401 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.