GCD of 306, 357, 278, 383 Calculator

Given Input numbers are 306, 357, 278, 383

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

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 383

List of positive integer divisors of 383 that divides 383 without a remainder.

1, 383

Greatest Common Divisior

We found the divisors of 306, 357, 278, 383 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 306, 357, 278, 383 is 1.

Therefore, GCD of numbers 306, 357, 278, 383 is 1

Given Input Data is 306, 357, 278, 383

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

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 278 is 2 x 139

Prime Factorization of 383 is 383

The above numbers do not have any common prime factor. So GCD is 1

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(306, 357) = 2142

GCD(306, 357) = ( 306 x 357 ) / 2142

GCD(306, 357) = 109242 / 2142

GCD(306, 357) = 51

Step2:

Here we consider the GCD from the above i.e. 51 as first number and the next as 278

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

LCM(51, 278) = 14178

GCD(51, 278) = ( 51 x 278 ) / 14178

GCD(51, 278) = 14178 / 14178

GCD(51, 278) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 383

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

LCM(1, 383) = 383

GCD(1, 383) = ( 1 x 383 ) / 383

GCD(1, 383) = 383 / 383

GCD(1, 383) = 1

GCD of 306, 357, 278, 383 is 1

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• GCD of 226, 325, 699, 829
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• GCD of 690, 460, 115, 257

1. What is the GCD of 306, 357, 278, 383?

GCD of 306, 357, 278, 383 is 1

2. Where do I get the detailed procedure to find GCD of 306, 357, 278, 383?

You can find a detailed procedure to find GCD of 306, 357, 278, 383 on our page.

3. How to find GCD of 306, 357, 278, 383 on a calculator?

You can find the GCD of 306, 357, 278, 383 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.