GCD of 920, 208, 348, 236 Calculator

Given Input numbers are 920, 208, 348, 236

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

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 920, 208, 348, 236 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 208, 348, 236 is 4.

Therefore, GCD of numbers 920, 208, 348, 236 is 4

Given Input Data is 920, 208, 348, 236

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 236 is 2 x 2 x 59

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(920, 208) = 23920

GCD(920, 208) = ( 920 x 208 ) / 23920

GCD(920, 208) = 191360 / 23920

GCD(920, 208) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 348

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

LCM(8, 348) = 696

GCD(8, 348) = ( 8 x 348 ) / 696

GCD(8, 348) = 2784 / 696

GCD(8, 348) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 236

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

LCM(4, 236) = 236

GCD(4, 236) = ( 4 x 236 ) / 236

GCD(4, 236) = 944 / 236

GCD(4, 236) = 4

GCD of 920, 208, 348, 236 is 4

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1. What is the GCD of 920, 208, 348, 236?

GCD of 920, 208, 348, 236 is 4

2. Where do I get the detailed procedure to find GCD of 920, 208, 348, 236?

You can find a detailed procedure to find GCD of 920, 208, 348, 236 on our page.

3. How to find GCD of 920, 208, 348, 236 on a calculator?

You can find the GCD of 920, 208, 348, 236 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.