GCD of 88, 78, 38, 66 Calculator

Given Input numbers are 88, 78, 38, 66

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

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 38

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

1, 2, 19, 38

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Greatest Common Divisior

We found the divisors of 88, 78, 38, 66 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 88, 78, 38, 66 is 2.

Therefore, GCD of numbers 88, 78, 38, 66 is 2

Given Input Data is 88, 78, 38, 66

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

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 38 is 2 x 19

Prime Factorization of 66 is 2 x 3 x 11

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(88, 78) = 3432

GCD(88, 78) = ( 88 x 78 ) / 3432

GCD(88, 78) = 6864 / 3432

GCD(88, 78) = 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 66

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

LCM(2, 66) = 66

GCD(2, 66) = ( 2 x 66 ) / 66

GCD(2, 66) = 132 / 66

GCD(2, 66) = 2

GCD of 88, 78, 38, 66 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 59, 93, 33, 74
• GCD of 29, 97, 48, 27
• GCD of 28, 43, 79, 54
• GCD of 76, 80, 69, 73
• GCD of 43, 40, 30, 54

1. What is the GCD of 88, 78, 38, 66?

GCD of 88, 78, 38, 66 is 2

2. Where do I get the detailed procedure to find GCD of 88, 78, 38, 66?

You can find a detailed procedure to find GCD of 88, 78, 38, 66 on our page.

3. How to find GCD of 88, 78, 38, 66 on a calculator?

You can find the GCD of 88, 78, 38, 66 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.