GCD of 547, 100, 654, 536 Calculator

Given Input numbers are 547, 100, 654, 536

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

Divisors of 547

List of positive integer divisors of 547 that divides 547 without a remainder.

1, 547

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 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Greatest Common Divisior

We found the divisors of 547, 100, 654, 536 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 547, 100, 654, 536 is 1.

Therefore, GCD of numbers 547, 100, 654, 536 is 1

Given Input Data is 547, 100, 654, 536

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

Prime Factorization of 547 is 547

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

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 536 is 2 x 2 x 2 x 67

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(547, 100) = 54700

GCD(547, 100) = ( 547 x 100 ) / 54700

GCD(547, 100) = 54700 / 54700

GCD(547, 100) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 654

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

LCM(1, 654) = 654

GCD(1, 654) = ( 1 x 654 ) / 654

GCD(1, 654) = 654 / 654

GCD(1, 654) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 536

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

LCM(1, 536) = 536

GCD(1, 536) = ( 1 x 536 ) / 536

GCD(1, 536) = 536 / 536

GCD(1, 536) = 1

GCD of 547, 100, 654, 536 is 1

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1. What is the GCD of 547, 100, 654, 536?

GCD of 547, 100, 654, 536 is 1

2. Where do I get the detailed procedure to find GCD of 547, 100, 654, 536?

You can find a detailed procedure to find GCD of 547, 100, 654, 536 on our page.

3. How to find GCD of 547, 100, 654, 536 on a calculator?

You can find the GCD of 547, 100, 654, 536 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.