GCD of 306, 418, 70, 668 Calculator

Given Input numbers are 306, 418, 70, 668

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 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Greatest Common Divisior

We found the divisors of 306, 418, 70, 668 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 306, 418, 70, 668 is 2.

Therefore, GCD of numbers 306, 418, 70, 668 is 2

Given Input Data is 306, 418, 70, 668

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 418 is 2 x 11 x 19

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 668 is 2 x 2 x 167

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(306, 418) = 63954

GCD(306, 418) = ( 306 x 418 ) / 63954

GCD(306, 418) = 127908 / 63954

GCD(306, 418) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 70

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

LCM(2, 70) = 70

GCD(2, 70) = ( 2 x 70 ) / 70

GCD(2, 70) = 140 / 70

GCD(2, 70) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 668

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

LCM(2, 668) = 668

GCD(2, 668) = ( 2 x 668 ) / 668

GCD(2, 668) = 1336 / 668

GCD(2, 668) = 2

GCD of 306, 418, 70, 668 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 169, 938, 20, 518
• GCD of 417, 447, 53, 110
• GCD of 298, 904, 32, 677
• GCD of 312, 784, 42, 772
• GCD of 140, 145, 75, 572

1. What is the GCD of 306, 418, 70, 668?

GCD of 306, 418, 70, 668 is 2

2. Where do I get the detailed procedure to find GCD of 306, 418, 70, 668?

You can find a detailed procedure to find GCD of 306, 418, 70, 668 on our page.

3. How to find GCD of 306, 418, 70, 668 on a calculator?

You can find the GCD of 306, 418, 70, 668 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.