GCD of 142, 270, 918, 354 Calculator

Given Input numbers are 142, 270, 918, 354

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 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Greatest Common Divisior

We found the divisors of 142, 270, 918, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 270, 918, 354 is 2.

Therefore, GCD of numbers 142, 270, 918, 354 is 2

Given Input Data is 142, 270, 918, 354

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 354 is 2 x 3 x 59

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, 270) = 19170

GCD(142, 270) = ( 142 x 270 ) / 19170

GCD(142, 270) = 38340 / 19170

GCD(142, 270) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 918

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

LCM(2, 918) = 918

GCD(2, 918) = ( 2 x 918 ) / 918

GCD(2, 918) = 1836 / 918

GCD(2, 918) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 354

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

LCM(2, 354) = 354

GCD(2, 354) = ( 2 x 354 ) / 354

GCD(2, 354) = 708 / 354

GCD(2, 354) = 2

GCD of 142, 270, 918, 354 is 2

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1. What is the GCD of 142, 270, 918, 354?

GCD of 142, 270, 918, 354 is 2

2. Where do I get the detailed procedure to find GCD of 142, 270, 918, 354?

You can find a detailed procedure to find GCD of 142, 270, 918, 354 on our page.

3. How to find GCD of 142, 270, 918, 354 on a calculator?

You can find the GCD of 142, 270, 918, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.