GCD of 86, 736, 270, 848 Calculator

Given Input numbers are 86, 736, 270, 848

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 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Greatest Common Divisior

We found the divisors of 86, 736, 270, 848 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 86, 736, 270, 848 is 2.

Therefore, GCD of numbers 86, 736, 270, 848 is 2

Given Input Data is 86, 736, 270, 848

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

Prime Factorization of 86 is 2 x 43

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53

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, 736) = 31648

GCD(86, 736) = ( 86 x 736 ) / 31648

GCD(86, 736) = 63296 / 31648

GCD(86, 736) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 270

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

LCM(2, 270) = 270

GCD(2, 270) = ( 2 x 270 ) / 270

GCD(2, 270) = 540 / 270

GCD(2, 270) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 848

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

LCM(2, 848) = 848

GCD(2, 848) = ( 2 x 848 ) / 848

GCD(2, 848) = 1696 / 848

GCD(2, 848) = 2

GCD of 86, 736, 270, 848 is 2

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1. What is the GCD of 86, 736, 270, 848?

GCD of 86, 736, 270, 848 is 2

2. Where do I get the detailed procedure to find GCD of 86, 736, 270, 848?

You can find a detailed procedure to find GCD of 86, 736, 270, 848 on our page.

3. How to find GCD of 86, 736, 270, 848 on a calculator?

You can find the GCD of 86, 736, 270, 848 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.