GCD of 306, 942, 310, 425 Calculator

Given Input numbers are 306, 942, 310, 425

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 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 425

List of positive integer divisors of 425 that divides 425 without a remainder.

1, 5, 17, 25, 85, 425

Greatest Common Divisior

We found the divisors of 306, 942, 310, 425 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 306, 942, 310, 425 is 1.

Therefore, GCD of numbers 306, 942, 310, 425 is 1

Given Input Data is 306, 942, 310, 425

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 942 is 2 x 3 x 157

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 425 is 5 x 5 x 17

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, 942) = 48042

GCD(306, 942) = ( 306 x 942 ) / 48042

GCD(306, 942) = 288252 / 48042

GCD(306, 942) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 310

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

LCM(6, 310) = 930

GCD(6, 310) = ( 6 x 310 ) / 930

GCD(6, 310) = 1860 / 930

GCD(6, 310) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 425

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

LCM(2, 425) = 850

GCD(2, 425) = ( 2 x 425 ) / 850

GCD(2, 425) = 850 / 850

GCD(2, 425) = 1

GCD of 306, 942, 310, 425 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 681, 741, 321, 508
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• GCD of 623, 908, 103, 942
• GCD of 244, 782, 678, 423

1. What is the GCD of 306, 942, 310, 425?

GCD of 306, 942, 310, 425 is 1

2. Where do I get the detailed procedure to find GCD of 306, 942, 310, 425?

You can find a detailed procedure to find GCD of 306, 942, 310, 425 on our page.

3. How to find GCD of 306, 942, 310, 425 on a calculator?

You can find the GCD of 306, 942, 310, 425 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.