GCD of 306, 746, 55, 678 Calculator

Given Input numbers are 306, 746, 55, 678

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 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Greatest Common Divisior

We found the divisors of 306, 746, 55, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 306, 746, 55, 678 is 1.

Therefore, GCD of numbers 306, 746, 55, 678 is 1

Given Input Data is 306, 746, 55, 678

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 746 is 2 x 373

Prime Factorization of 55 is 5 x 11

Prime Factorization of 678 is 2 x 3 x 113

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, 746) = 114138

GCD(306, 746) = ( 306 x 746 ) / 114138

GCD(306, 746) = 228276 / 114138

GCD(306, 746) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 55

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

LCM(2, 55) = 110

GCD(2, 55) = ( 2 x 55 ) / 110

GCD(2, 55) = 110 / 110

GCD(2, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 678

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

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

GCD(1, 678) = 678 / 678

GCD(1, 678) = 1

GCD of 306, 746, 55, 678 is 1

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• GCD of 684, 560, 95, 362
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1. What is the GCD of 306, 746, 55, 678?

GCD of 306, 746, 55, 678 is 1

2. Where do I get the detailed procedure to find GCD of 306, 746, 55, 678?

You can find a detailed procedure to find GCD of 306, 746, 55, 678 on our page.

3. How to find GCD of 306, 746, 55, 678 on a calculator?

You can find the GCD of 306, 746, 55, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.