GCD of 616, 292, 36, 128 Calculator

Given Input numbers are 616, 292, 36, 128

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

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

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Greatest Common Divisior

We found the divisors of 616, 292, 36, 128 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 616, 292, 36, 128 is 4.

Therefore, GCD of numbers 616, 292, 36, 128 is 4

Given Input Data is 616, 292, 36, 128

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

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

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

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(616, 292) = 44968

GCD(616, 292) = ( 616 x 292 ) / 44968

GCD(616, 292) = 179872 / 44968

GCD(616, 292) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 36

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

LCM(4, 36) = 36

GCD(4, 36) = ( 4 x 36 ) / 36

GCD(4, 36) = 144 / 36

GCD(4, 36) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 128

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

LCM(4, 128) = 128

GCD(4, 128) = ( 4 x 128 ) / 128

GCD(4, 128) = 512 / 128

GCD(4, 128) = 4

GCD of 616, 292, 36, 128 is 4

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1. What is the GCD of 616, 292, 36, 128?

GCD of 616, 292, 36, 128 is 4

2. Where do I get the detailed procedure to find GCD of 616, 292, 36, 128?

You can find a detailed procedure to find GCD of 616, 292, 36, 128 on our page.

3. How to find GCD of 616, 292, 36, 128 on a calculator?

You can find the GCD of 616, 292, 36, 128 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.