GCD of 86, 788, 628, 578 Calculator

Given Input numbers are 86, 788, 628, 578

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

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Greatest Common Divisior

We found the divisors of 86, 788, 628, 578 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 86, 788, 628, 578 is 2.

Therefore, GCD of numbers 86, 788, 628, 578 is 2

Given Input Data is 86, 788, 628, 578

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

Prime Factorization of 86 is 2 x 43

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 578 is 2 x 17 x 17

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(86, 788) = 33884

GCD(86, 788) = ( 86 x 788 ) / 33884

GCD(86, 788) = 67768 / 33884

GCD(86, 788) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 628

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

LCM(2, 628) = 628

GCD(2, 628) = ( 2 x 628 ) / 628

GCD(2, 628) = 1256 / 628

GCD(2, 628) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 578

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

LCM(2, 578) = 578

GCD(2, 578) = ( 2 x 578 ) / 578

GCD(2, 578) = 1156 / 578

GCD(2, 578) = 2

GCD of 86, 788, 628, 578 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 50, 562, 680, 175
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• GCD of 63, 687, 523, 960

1. What is the GCD of 86, 788, 628, 578?

GCD of 86, 788, 628, 578 is 2

2. Where do I get the detailed procedure to find GCD of 86, 788, 628, 578?

You can find a detailed procedure to find GCD of 86, 788, 628, 578 on our page.

3. How to find GCD of 86, 788, 628, 578 on a calculator?

You can find the GCD of 86, 788, 628, 578 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.