GCD of 170, 936, 208, 616 Calculator

Given Input numbers are 170, 936, 208, 616

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

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

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 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Greatest Common Divisior

We found the divisors of 170, 936, 208, 616 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 170, 936, 208, 616 is 2.

Therefore, GCD of numbers 170, 936, 208, 616 is 2

Given Input Data is 170, 936, 208, 616

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

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

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

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

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(170, 936) = 79560

GCD(170, 936) = ( 170 x 936 ) / 79560

GCD(170, 936) = 159120 / 79560

GCD(170, 936) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 208

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

LCM(2, 208) = 208

GCD(2, 208) = ( 2 x 208 ) / 208

GCD(2, 208) = 416 / 208

GCD(2, 208) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 616

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

LCM(2, 616) = 616

GCD(2, 616) = ( 2 x 616 ) / 616

GCD(2, 616) = 1232 / 616

GCD(2, 616) = 2

GCD of 170, 936, 208, 616 is 2

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1. What is the GCD of 170, 936, 208, 616?

GCD of 170, 936, 208, 616 is 2

2. Where do I get the detailed procedure to find GCD of 170, 936, 208, 616?

You can find a detailed procedure to find GCD of 170, 936, 208, 616 on our page.

3. How to find GCD of 170, 936, 208, 616 on a calculator?

You can find the GCD of 170, 936, 208, 616 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.