GCD of 656, 542, 655, 101 Calculator

Given Input numbers are 656, 542, 655, 101

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

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 542

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

1, 2, 271, 542

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Greatest Common Divisior

We found the divisors of 656, 542, 655, 101 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 656, 542, 655, 101 is 1.

Therefore, GCD of numbers 656, 542, 655, 101 is 1

Given Input Data is 656, 542, 655, 101

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

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

Prime Factorization of 542 is 2 x 271

Prime Factorization of 655 is 5 x 131

Prime Factorization of 101 is 101

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(656, 542) = 177776

GCD(656, 542) = ( 656 x 542 ) / 177776

GCD(656, 542) = 355552 / 177776

GCD(656, 542) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 655

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

LCM(2, 655) = 1310

GCD(2, 655) = ( 2 x 655 ) / 1310

GCD(2, 655) = 1310 / 1310

GCD(2, 655) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 101

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

LCM(1, 101) = 101

GCD(1, 101) = ( 1 x 101 ) / 101

GCD(1, 101) = 101 / 101

GCD(1, 101) = 1

GCD of 656, 542, 655, 101 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 256, 863, 175, 890
• GCD of 170, 964, 585, 481
• GCD of 273, 753, 341, 267
• GCD of 680, 329, 697, 487
• GCD of 334, 300, 668, 292

1. What is the GCD of 656, 542, 655, 101?

GCD of 656, 542, 655, 101 is 1

2. Where do I get the detailed procedure to find GCD of 656, 542, 655, 101?

You can find a detailed procedure to find GCD of 656, 542, 655, 101 on our page.

3. How to find GCD of 656, 542, 655, 101 on a calculator?

You can find the GCD of 656, 542, 655, 101 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.