GCD of 546, 360, 34, 476 Calculator

Given Input numbers are 546, 360, 34, 476

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

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

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Greatest Common Divisior

We found the divisors of 546, 360, 34, 476 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 546, 360, 34, 476 is 2.

Therefore, GCD of numbers 546, 360, 34, 476 is 2

Given Input Data is 546, 360, 34, 476

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

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

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 34 is 2 x 17

Prime Factorization of 476 is 2 x 2 x 7 x 17

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(546, 360) = 32760

GCD(546, 360) = ( 546 x 360 ) / 32760

GCD(546, 360) = 196560 / 32760

GCD(546, 360) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 34

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

LCM(6, 34) = 102

GCD(6, 34) = ( 6 x 34 ) / 102

GCD(6, 34) = 204 / 102

GCD(6, 34) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 476

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

LCM(2, 476) = 476

GCD(2, 476) = ( 2 x 476 ) / 476

GCD(2, 476) = 952 / 476

GCD(2, 476) = 2

GCD of 546, 360, 34, 476 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 637, 875, 53, 563
• GCD of 701, 211, 75, 431
• GCD of 524, 668, 21, 198
• GCD of 224, 880, 17, 865
• GCD of 483, 181, 55, 271

1. What is the GCD of 546, 360, 34, 476?

GCD of 546, 360, 34, 476 is 2

2. Where do I get the detailed procedure to find GCD of 546, 360, 34, 476?

You can find a detailed procedure to find GCD of 546, 360, 34, 476 on our page.

3. How to find GCD of 546, 360, 34, 476 on a calculator?

You can find the GCD of 546, 360, 34, 476 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.