GCD of 796, 200, 152, 540 Calculator

Given Input numbers are 796, 200, 152, 540

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

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Greatest Common Divisior

We found the divisors of 796, 200, 152, 540 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 796, 200, 152, 540 is 4.

Therefore, GCD of numbers 796, 200, 152, 540 is 4

Given Input Data is 796, 200, 152, 540

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

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 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(796, 200) = 39800

GCD(796, 200) = ( 796 x 200 ) / 39800

GCD(796, 200) = 159200 / 39800

GCD(796, 200) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 152

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

LCM(4, 152) = 152

GCD(4, 152) = ( 4 x 152 ) / 152

GCD(4, 152) = 608 / 152

GCD(4, 152) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 540

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

LCM(4, 540) = 540

GCD(4, 540) = ( 4 x 540 ) / 540

GCD(4, 540) = 2160 / 540

GCD(4, 540) = 4

GCD of 796, 200, 152, 540 is 4

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1. What is the GCD of 796, 200, 152, 540?

GCD of 796, 200, 152, 540 is 4

2. Where do I get the detailed procedure to find GCD of 796, 200, 152, 540?

You can find a detailed procedure to find GCD of 796, 200, 152, 540 on our page.

3. How to find GCD of 796, 200, 152, 540 on a calculator?

You can find the GCD of 796, 200, 152, 540 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.