GCD of 654, 537, 666, 642 Calculator

Given Input numbers are 654, 537, 666, 642

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

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 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Divisors of 666

List of positive integer divisors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Greatest Common Divisior

We found the divisors of 654, 537, 666, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 537, 666, 642 is 3.

Therefore, GCD of numbers 654, 537, 666, 642 is 3

Given Input Data is 654, 537, 666, 642

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

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 537 is 3 x 179

Prime Factorization of 666 is 2 x 3 x 3 x 37

Prime Factorization of 642 is 2 x 3 x 107

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(654, 537) = 117066

GCD(654, 537) = ( 654 x 537 ) / 117066

GCD(654, 537) = 351198 / 117066

GCD(654, 537) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 666

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

LCM(3, 666) = 666

GCD(3, 666) = ( 3 x 666 ) / 666

GCD(3, 666) = 1998 / 666

GCD(3, 666) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 642

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

LCM(3, 642) = 642

GCD(3, 642) = ( 3 x 642 ) / 642

GCD(3, 642) = 1926 / 642

GCD(3, 642) = 3

GCD of 654, 537, 666, 642 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 933, 670, 821, 545
• GCD of 556, 582, 668, 362
• GCD of 652, 165, 265, 606
• GCD of 434, 685, 970, 498
• GCD of 894, 906, 290, 175

1. What is the GCD of 654, 537, 666, 642?

GCD of 654, 537, 666, 642 is 3

2. Where do I get the detailed procedure to find GCD of 654, 537, 666, 642?

You can find a detailed procedure to find GCD of 654, 537, 666, 642 on our page.

3. How to find GCD of 654, 537, 666, 642 on a calculator?

You can find the GCD of 654, 537, 666, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.