GCD of 378, 272, 356, 654 Calculator

Given Input numbers are 378, 272, 356, 654

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

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Greatest Common Divisior

We found the divisors of 378, 272, 356, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 272, 356, 654 is 2.

Therefore, GCD of numbers 378, 272, 356, 654 is 2

Given Input Data is 378, 272, 356, 654

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

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 654 is 2 x 3 x 109

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(378, 272) = 51408

GCD(378, 272) = ( 378 x 272 ) / 51408

GCD(378, 272) = 102816 / 51408

GCD(378, 272) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 356

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

LCM(2, 356) = 356

GCD(2, 356) = ( 2 x 356 ) / 356

GCD(2, 356) = 712 / 356

GCD(2, 356) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 654

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

LCM(2, 654) = 654

GCD(2, 654) = ( 2 x 654 ) / 654

GCD(2, 654) = 1308 / 654

GCD(2, 654) = 2

GCD of 378, 272, 356, 654 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 258, 482, 828, 968
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• GCD of 638, 856, 902, 853
• GCD of 380, 232, 307, 746

1. What is the GCD of 378, 272, 356, 654?

GCD of 378, 272, 356, 654 is 2

2. Where do I get the detailed procedure to find GCD of 378, 272, 356, 654?

You can find a detailed procedure to find GCD of 378, 272, 356, 654 on our page.

3. How to find GCD of 378, 272, 356, 654 on a calculator?

You can find the GCD of 378, 272, 356, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.