GCD of 77, 23, 38, 10 Calculator

Given Input numbers are 77, 23, 38, 10

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

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 38

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

1, 2, 19, 38

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Greatest Common Divisior

We found the divisors of 77, 23, 38, 10 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 23, 38, 10 is 1.

Therefore, GCD of numbers 77, 23, 38, 10 is 1

Given Input Data is 77, 23, 38, 10

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

Prime Factorization of 77 is 7 x 11

Prime Factorization of 23 is 23

Prime Factorization of 38 is 2 x 19

Prime Factorization of 10 is 2 x 5

The above numbers do not have any common prime factor. So GCD is 1

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(77, 23) = 1771

GCD(77, 23) = ( 77 x 23 ) / 1771

GCD(77, 23) = 1771 / 1771

GCD(77, 23) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1

GCD of 77, 23, 38, 10 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 20, 84, 36, 68
• GCD of 75, 24, 31, 95
• GCD of 90, 50, 75, 47
• GCD of 30, 41, 22, 49
• GCD of 34, 92, 31, 44

1. What is the GCD of 77, 23, 38, 10?

GCD of 77, 23, 38, 10 is 1

2. Where do I get the detailed procedure to find GCD of 77, 23, 38, 10?

You can find a detailed procedure to find GCD of 77, 23, 38, 10 on our page.

3. How to find GCD of 77, 23, 38, 10 on a calculator?

You can find the GCD of 77, 23, 38, 10 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.