GCD of 564, 742, 50, 764 Calculator

Given Input numbers are 564, 742, 50, 764

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

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Greatest Common Divisior

We found the divisors of 564, 742, 50, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 742, 50, 764 is 2.

Therefore, GCD of numbers 564, 742, 50, 764 is 2

Given Input Data is 564, 742, 50, 764

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

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 764 is 2 x 2 x 191

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(564, 742) = 209244

GCD(564, 742) = ( 564 x 742 ) / 209244

GCD(564, 742) = 418488 / 209244

GCD(564, 742) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 50

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

LCM(2, 50) = 50

GCD(2, 50) = ( 2 x 50 ) / 50

GCD(2, 50) = 100 / 50

GCD(2, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 764

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

LCM(2, 764) = 764

GCD(2, 764) = ( 2 x 764 ) / 764

GCD(2, 764) = 1528 / 764

GCD(2, 764) = 2

GCD of 564, 742, 50, 764 is 2

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1. What is the GCD of 564, 742, 50, 764?

GCD of 564, 742, 50, 764 is 2

2. Where do I get the detailed procedure to find GCD of 564, 742, 50, 764?

You can find a detailed procedure to find GCD of 564, 742, 50, 764 on our page.

3. How to find GCD of 564, 742, 50, 764 on a calculator?

You can find the GCD of 564, 742, 50, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.