GCD of 240, 708, 426, 162 Calculator

Given Input numbers are 240, 708, 426, 162

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

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Greatest Common Divisior

We found the divisors of 240, 708, 426, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 708, 426, 162 is 6.

Therefore, GCD of numbers 240, 708, 426, 162 is 6

Given Input Data is 240, 708, 426, 162

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

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(240, 708) = 14160

GCD(240, 708) = ( 240 x 708 ) / 14160

GCD(240, 708) = 169920 / 14160

GCD(240, 708) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 426

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

LCM(12, 426) = 852

GCD(12, 426) = ( 12 x 426 ) / 852

GCD(12, 426) = 5112 / 852

GCD(12, 426) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 162

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

LCM(6, 162) = 162

GCD(6, 162) = ( 6 x 162 ) / 162

GCD(6, 162) = 972 / 162

GCD(6, 162) = 6

GCD of 240, 708, 426, 162 is 6

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1. What is the GCD of 240, 708, 426, 162?

GCD of 240, 708, 426, 162 is 6

2. Where do I get the detailed procedure to find GCD of 240, 708, 426, 162?

You can find a detailed procedure to find GCD of 240, 708, 426, 162 on our page.

3. How to find GCD of 240, 708, 426, 162 on a calculator?

You can find the GCD of 240, 708, 426, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.