GCD of 948, 786, 68, 366 Calculator

Given Input numbers are 948, 786, 68, 366

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

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Greatest Common Divisior

We found the divisors of 948, 786, 68, 366 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 948, 786, 68, 366 is 2.

Therefore, GCD of numbers 948, 786, 68, 366 is 2

Given Input Data is 948, 786, 68, 366

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

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 366 is 2 x 3 x 61

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(948, 786) = 124188

GCD(948, 786) = ( 948 x 786 ) / 124188

GCD(948, 786) = 745128 / 124188

GCD(948, 786) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 68

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

LCM(6, 68) = 204

GCD(6, 68) = ( 6 x 68 ) / 204

GCD(6, 68) = 408 / 204

GCD(6, 68) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 366

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

LCM(2, 366) = 366

GCD(2, 366) = ( 2 x 366 ) / 366

GCD(2, 366) = 732 / 366

GCD(2, 366) = 2

GCD of 948, 786, 68, 366 is 2

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1. What is the GCD of 948, 786, 68, 366?

GCD of 948, 786, 68, 366 is 2

2. Where do I get the detailed procedure to find GCD of 948, 786, 68, 366?

You can find a detailed procedure to find GCD of 948, 786, 68, 366 on our page.

3. How to find GCD of 948, 786, 68, 366 on a calculator?

You can find the GCD of 948, 786, 68, 366 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.