GCD of 488, 778, 38, 536 Calculator

Given Input numbers are 488, 778, 38, 536

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

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 536

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

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

Greatest Common Divisior

We found the divisors of 488, 778, 38, 536 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 488, 778, 38, 536 is 2.

Therefore, GCD of numbers 488, 778, 38, 536 is 2

Given Input Data is 488, 778, 38, 536

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

Prime Factorization of 488 is 2 x 2 x 2 x 61

Prime Factorization of 778 is 2 x 389

Prime Factorization of 38 is 2 x 19

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

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(488, 778) = 189832

GCD(488, 778) = ( 488 x 778 ) / 189832

GCD(488, 778) = 379664 / 189832

GCD(488, 778) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 38

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

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

GCD(2, 38) = 76 / 38

GCD(2, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 536

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

LCM(2, 536) = 536

GCD(2, 536) = ( 2 x 536 ) / 536

GCD(2, 536) = 1072 / 536

GCD(2, 536) = 2

GCD of 488, 778, 38, 536 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 637, 187, 95, 777
• GCD of 764, 203, 48, 115
• GCD of 407, 661, 43, 528
• GCD of 446, 937, 13, 420
• GCD of 587, 512, 68, 856

1. What is the GCD of 488, 778, 38, 536?

GCD of 488, 778, 38, 536 is 2

2. Where do I get the detailed procedure to find GCD of 488, 778, 38, 536?

You can find a detailed procedure to find GCD of 488, 778, 38, 536 on our page.

3. How to find GCD of 488, 778, 38, 536 on a calculator?

You can find the GCD of 488, 778, 38, 536 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.