GCD of 142, 324, 10, 618 Calculator

Given Input numbers are 142, 324, 10, 618

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

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

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 142, 324, 10, 618 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 324, 10, 618 is 2.

Therefore, GCD of numbers 142, 324, 10, 618 is 2

Given Input Data is 142, 324, 10, 618

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 10 is 2 x 5

Prime Factorization of 618 is 2 x 3 x 103

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(142, 324) = 23004

GCD(142, 324) = ( 142 x 324 ) / 23004

GCD(142, 324) = 46008 / 23004

GCD(142, 324) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 10

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

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

GCD(2, 10) = 20 / 10

GCD(2, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 618

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

LCM(2, 618) = 618

GCD(2, 618) = ( 2 x 618 ) / 618

GCD(2, 618) = 1236 / 618

GCD(2, 618) = 2

GCD of 142, 324, 10, 618 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 690, 475, 43, 679
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• GCD of 434, 761, 23, 755
• GCD of 720, 794, 41, 974
• GCD of 328, 886, 70, 662

1. What is the GCD of 142, 324, 10, 618?

GCD of 142, 324, 10, 618 is 2

2. Where do I get the detailed procedure to find GCD of 142, 324, 10, 618?

You can find a detailed procedure to find GCD of 142, 324, 10, 618 on our page.

3. How to find GCD of 142, 324, 10, 618 on a calculator?

You can find the GCD of 142, 324, 10, 618 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.