GCD of 84, 312, 236, 425 Calculator

Given Input numbers are 84, 312, 236, 425

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

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 236

List of positive integer divisors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

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 84, 312, 236, 425 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 312, 236, 425 is 1.

Therefore, GCD of numbers 84, 312, 236, 425 is 1

Given Input Data is 84, 312, 236, 425

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

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 236 is 2 x 2 x 59

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(84, 312) = 2184

GCD(84, 312) = ( 84 x 312 ) / 2184

GCD(84, 312) = 26208 / 2184

GCD(84, 312) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 236

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

LCM(12, 236) = 708

GCD(12, 236) = ( 12 x 236 ) / 708

GCD(12, 236) = 2832 / 708

GCD(12, 236) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 425

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

LCM(4, 425) = 1700

GCD(4, 425) = ( 4 x 425 ) / 1700

GCD(4, 425) = 1700 / 1700

GCD(4, 425) = 1

GCD of 84, 312, 236, 425 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 50, 641, 614, 211
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• GCD of 27, 275, 235, 536

1. What is the GCD of 84, 312, 236, 425?

GCD of 84, 312, 236, 425 is 1

2. Where do I get the detailed procedure to find GCD of 84, 312, 236, 425?

You can find a detailed procedure to find GCD of 84, 312, 236, 425 on our page.

3. How to find GCD of 84, 312, 236, 425 on a calculator?

You can find the GCD of 84, 312, 236, 425 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.