GCD of 428, 312, 878, 614 Calculator

Given Input numbers are 428, 312, 878, 614

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

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

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 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Greatest Common Divisior

We found the divisors of 428, 312, 878, 614 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 312, 878, 614 is 2.

Therefore, GCD of numbers 428, 312, 878, 614 is 2

Given Input Data is 428, 312, 878, 614

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

Prime Factorization of 428 is 2 x 2 x 107

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

Prime Factorization of 878 is 2 x 439

Prime Factorization of 614 is 2 x 307

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(428, 312) = 33384

GCD(428, 312) = ( 428 x 312 ) / 33384

GCD(428, 312) = 133536 / 33384

GCD(428, 312) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 878

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

LCM(4, 878) = 1756

GCD(4, 878) = ( 4 x 878 ) / 1756

GCD(4, 878) = 3512 / 1756

GCD(4, 878) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 614

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

LCM(2, 614) = 614

GCD(2, 614) = ( 2 x 614 ) / 614

GCD(2, 614) = 1228 / 614

GCD(2, 614) = 2

GCD of 428, 312, 878, 614 is 2

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• GCD of 902, 763, 434, 271
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1. What is the GCD of 428, 312, 878, 614?

GCD of 428, 312, 878, 614 is 2

2. Where do I get the detailed procedure to find GCD of 428, 312, 878, 614?

You can find a detailed procedure to find GCD of 428, 312, 878, 614 on our page.

3. How to find GCD of 428, 312, 878, 614 on a calculator?

You can find the GCD of 428, 312, 878, 614 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.