GCD of 537, 879, 42, 618 Calculator

Given Input numbers are 537, 879, 42, 618

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

Divisors of 537

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

1, 3, 179, 537

Divisors of 879

List of positive integer divisors of 879 that divides 879 without a remainder.

1, 3, 293, 879

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Greatest Common Divisior

We found the divisors of 537, 879, 42, 618 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 537, 879, 42, 618 is 3.

Therefore, GCD of numbers 537, 879, 42, 618 is 3

Given Input Data is 537, 879, 42, 618

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

Prime Factorization of 537 is 3 x 179

Prime Factorization of 879 is 3 x 293

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 618 is 2 x 3 x 103

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(537, 879) = 157341

GCD(537, 879) = ( 537 x 879 ) / 157341

GCD(537, 879) = 472023 / 157341

GCD(537, 879) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 42

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

LCM(3, 42) = 42

GCD(3, 42) = ( 3 x 42 ) / 42

GCD(3, 42) = 126 / 42

GCD(3, 42) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 618

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

LCM(3, 618) = 618

GCD(3, 618) = ( 3 x 618 ) / 618

GCD(3, 618) = 1854 / 618

GCD(3, 618) = 3

GCD of 537, 879, 42, 618 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 541, 836, 91, 804
• GCD of 816, 293, 78, 720
• GCD of 340, 848, 34, 158
• GCD of 812, 515, 69, 549
• GCD of 305, 388, 91, 994

1. What is the GCD of 537, 879, 42, 618?

GCD of 537, 879, 42, 618 is 3

2. Where do I get the detailed procedure to find GCD of 537, 879, 42, 618?

You can find a detailed procedure to find GCD of 537, 879, 42, 618 on our page.

3. How to find GCD of 537, 879, 42, 618 on a calculator?

You can find the GCD of 537, 879, 42, 618 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.