GCD of 536, 414, 772 Calculator

Given Input numbers are 536, 414, 772

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 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Greatest Common Divisior

We found the divisors of 536, 414, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 536, 414, 772 is 2.

Therefore, GCD of numbers 536, 414, 772 is 2

Given Input Data is 536, 414, 772

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 414 is 2 x 3 x 3 x 23

Prime Factorization of 772 is 2 x 2 x 193

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(536, 414) = 110952

GCD(536, 414) = ( 536 x 414 ) / 110952

GCD(536, 414) = 221904 / 110952

GCD(536, 414) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 772

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

LCM(2, 772) = 772

GCD(2, 772) = ( 2 x 772 ) / 772

GCD(2, 772) = 1544 / 772

GCD(2, 772) = 2

GCD of 536, 414, 772 is 2

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1. What is the GCD of 536, 414, 772?

GCD of 536, 414, 772 is 2

2. Where do I get the detailed procedure to find GCD of 536, 414, 772?

You can find a detailed procedure to find GCD of 536, 414, 772 on our page.

3. How to find GCD of 536, 414, 772 on a calculator?

You can find the GCD of 536, 414, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.