GCD of 536, 556, 172, 160 Calculator

Given Input numbers are 536, 556, 172, 160

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

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 556

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

1, 2, 4, 139, 278, 556

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

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

Greatest Common Divisior

We found the divisors of 536, 556, 172, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 536, 556, 172, 160 is 4.

Therefore, GCD of numbers 536, 556, 172, 160 is 4

Given Input Data is 536, 556, 172, 160

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

Prime Factorization of 536 is 2 x 2 x 2 x 67

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 172 is 2 x 2 x 43

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

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(536, 556) = 74504

GCD(536, 556) = ( 536 x 556 ) / 74504

GCD(536, 556) = 298016 / 74504

GCD(536, 556) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 172

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

LCM(4, 172) = 172

GCD(4, 172) = ( 4 x 172 ) / 172

GCD(4, 172) = 688 / 172

GCD(4, 172) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 160

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

LCM(4, 160) = 160

GCD(4, 160) = ( 4 x 160 ) / 160

GCD(4, 160) = 640 / 160

GCD(4, 160) = 4

GCD of 536, 556, 172, 160 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 180, 772, 853, 948
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• GCD of 895, 254, 670, 131
• GCD of 271, 751, 380, 547

1. What is the GCD of 536, 556, 172, 160?

GCD of 536, 556, 172, 160 is 4

2. Where do I get the detailed procedure to find GCD of 536, 556, 172, 160?

You can find a detailed procedure to find GCD of 536, 556, 172, 160 on our page.

3. How to find GCD of 536, 556, 172, 160 on a calculator?

You can find the GCD of 536, 556, 172, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.