GCD of 336, 680, 858, 236 Calculator

Given Input numbers are 336, 680, 858, 236

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

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 236

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

1, 2, 4, 59, 118, 236

Greatest Common Divisior

We found the divisors of 336, 680, 858, 236 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 680, 858, 236 is 2.

Therefore, GCD of numbers 336, 680, 858, 236 is 2

Given Input Data is 336, 680, 858, 236

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

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 858 is 2 x 3 x 11 x 13

Prime Factorization of 236 is 2 x 2 x 59

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(336, 680) = 28560

GCD(336, 680) = ( 336 x 680 ) / 28560

GCD(336, 680) = 228480 / 28560

GCD(336, 680) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 858

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

LCM(8, 858) = 3432

GCD(8, 858) = ( 8 x 858 ) / 3432

GCD(8, 858) = 6864 / 3432

GCD(8, 858) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 236

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

LCM(2, 236) = 236

GCD(2, 236) = ( 2 x 236 ) / 236

GCD(2, 236) = 472 / 236

GCD(2, 236) = 2

GCD of 336, 680, 858, 236 is 2

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1. What is the GCD of 336, 680, 858, 236?

GCD of 336, 680, 858, 236 is 2

2. Where do I get the detailed procedure to find GCD of 336, 680, 858, 236?

You can find a detailed procedure to find GCD of 336, 680, 858, 236 on our page.

3. How to find GCD of 336, 680, 858, 236 on a calculator?

You can find the GCD of 336, 680, 858, 236 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.