GCD of 154, 656, 533, 542 Calculator

Given Input numbers are 154, 656, 533, 542

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

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Greatest Common Divisior

We found the divisors of 154, 656, 533, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 656, 533, 542 is 1.

Therefore, GCD of numbers 154, 656, 533, 542 is 1

Given Input Data is 154, 656, 533, 542

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

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 533 is 13 x 41

Prime Factorization of 542 is 2 x 271

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(154, 656) = 50512

GCD(154, 656) = ( 154 x 656 ) / 50512

GCD(154, 656) = 101024 / 50512

GCD(154, 656) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 533

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

LCM(2, 533) = 1066

GCD(2, 533) = ( 2 x 533 ) / 1066

GCD(2, 533) = 1066 / 1066

GCD(2, 533) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 542

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

LCM(1, 542) = 542

GCD(1, 542) = ( 1 x 542 ) / 542

GCD(1, 542) = 542 / 542

GCD(1, 542) = 1

GCD of 154, 656, 533, 542 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 132, 194, 496, 913
• GCD of 254, 806, 897, 585
• GCD of 465, 518, 975, 525
• GCD of 252, 159, 614, 641
• GCD of 723, 798, 645, 241

1. What is the GCD of 154, 656, 533, 542?

GCD of 154, 656, 533, 542 is 1

2. Where do I get the detailed procedure to find GCD of 154, 656, 533, 542?

You can find a detailed procedure to find GCD of 154, 656, 533, 542 on our page.

3. How to find GCD of 154, 656, 533, 542 on a calculator?

You can find the GCD of 154, 656, 533, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.