GCD of 340, 240, 22, 546 Calculator

Given Input numbers are 340, 240, 22, 546

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

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

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 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Greatest Common Divisior

We found the divisors of 340, 240, 22, 546 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 240, 22, 546 is 2.

Therefore, GCD of numbers 340, 240, 22, 546 is 2

Given Input Data is 340, 240, 22, 546

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

Prime Factorization of 340 is 2 x 2 x 5 x 17

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

Prime Factorization of 22 is 2 x 11

Prime Factorization of 546 is 2 x 3 x 7 x 13

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(340, 240) = 4080

GCD(340, 240) = ( 340 x 240 ) / 4080

GCD(340, 240) = 81600 / 4080

GCD(340, 240) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 22

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

LCM(20, 22) = 220

GCD(20, 22) = ( 20 x 22 ) / 220

GCD(20, 22) = 440 / 220

GCD(20, 22) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 546

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

LCM(2, 546) = 546

GCD(2, 546) = ( 2 x 546 ) / 546

GCD(2, 546) = 1092 / 546

GCD(2, 546) = 2

GCD of 340, 240, 22, 546 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 809, 569, 40, 527
• GCD of 281, 440, 86, 255
• GCD of 909, 331, 23, 537
• GCD of 763, 644, 36, 818
• GCD of 179, 502, 52, 769

1. What is the GCD of 340, 240, 22, 546?

GCD of 340, 240, 22, 546 is 2

2. Where do I get the detailed procedure to find GCD of 340, 240, 22, 546?

You can find a detailed procedure to find GCD of 340, 240, 22, 546 on our page.

3. How to find GCD of 340, 240, 22, 546 on a calculator?

You can find the GCD of 340, 240, 22, 546 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.