GCD of 556, 160, 96, 736 Calculator

Given Input numbers are 556, 160, 96, 736

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

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

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

Greatest Common Divisior

We found the divisors of 556, 160, 96, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 556, 160, 96, 736 is 4.

Therefore, GCD of numbers 556, 160, 96, 736 is 4

Given Input Data is 556, 160, 96, 736

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

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

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

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(556, 160) = 22240

GCD(556, 160) = ( 556 x 160 ) / 22240

GCD(556, 160) = 88960 / 22240

GCD(556, 160) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 96

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

LCM(4, 96) = 96

GCD(4, 96) = ( 4 x 96 ) / 96

GCD(4, 96) = 384 / 96

GCD(4, 96) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 736

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

LCM(4, 736) = 736

GCD(4, 736) = ( 4 x 736 ) / 736

GCD(4, 736) = 2944 / 736

GCD(4, 736) = 4

GCD of 556, 160, 96, 736 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 320, 771, 83, 749
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• GCD of 436, 304, 12, 849
• GCD of 571, 667, 25, 905
• GCD of 380, 428, 12, 783

1. What is the GCD of 556, 160, 96, 736?

GCD of 556, 160, 96, 736 is 4

2. Where do I get the detailed procedure to find GCD of 556, 160, 96, 736?

You can find a detailed procedure to find GCD of 556, 160, 96, 736 on our page.

3. How to find GCD of 556, 160, 96, 736 on a calculator?

You can find the GCD of 556, 160, 96, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.