GCD of 540, 354, 88, 622 Calculator

Given Input numbers are 540, 354, 88, 622

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

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 354

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

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

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Greatest Common Divisior

We found the divisors of 540, 354, 88, 622 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 354, 88, 622 is 2.

Therefore, GCD of numbers 540, 354, 88, 622 is 2

Given Input Data is 540, 354, 88, 622

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

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 622 is 2 x 311

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(540, 354) = 31860

GCD(540, 354) = ( 540 x 354 ) / 31860

GCD(540, 354) = 191160 / 31860

GCD(540, 354) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 88

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

LCM(6, 88) = 264

GCD(6, 88) = ( 6 x 88 ) / 264

GCD(6, 88) = 528 / 264

GCD(6, 88) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 622

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

LCM(2, 622) = 622

GCD(2, 622) = ( 2 x 622 ) / 622

GCD(2, 622) = 1244 / 622

GCD(2, 622) = 2

GCD of 540, 354, 88, 622 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 287, 277, 74, 568
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• GCD of 170, 321, 13, 645
• GCD of 259, 212, 37, 610

1. What is the GCD of 540, 354, 88, 622?

GCD of 540, 354, 88, 622 is 2

2. Where do I get the detailed procedure to find GCD of 540, 354, 88, 622?

You can find a detailed procedure to find GCD of 540, 354, 88, 622 on our page.

3. How to find GCD of 540, 354, 88, 622 on a calculator?

You can find the GCD of 540, 354, 88, 622 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.