GCD of 24, 42, 63, 77 Calculator

Given Input numbers are 24, 42, 63, 77

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

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

Divisors of 77

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

1, 7, 11, 77

Greatest Common Divisior

We found the divisors of 24, 42, 63, 77 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 42, 63, 77 is 1.

Therefore, GCD of numbers 24, 42, 63, 77 is 1

Given Input Data is 24, 42, 63, 77

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

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 77 is 7 x 11

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(24, 42) = 168

GCD(24, 42) = ( 24 x 42 ) / 168

GCD(24, 42) = 1008 / 168

GCD(24, 42) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 63

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

LCM(6, 63) = 126

GCD(6, 63) = ( 6 x 63 ) / 126

GCD(6, 63) = 378 / 126

GCD(6, 63) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 77

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

LCM(3, 77) = 231

GCD(3, 77) = ( 3 x 77 ) / 231

GCD(3, 77) = 231 / 231

GCD(3, 77) = 1

GCD of 24, 42, 63, 77 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 70, 53, 99, 69
• GCD of 58, 97, 77, 98
• GCD of 30, 30, 88, 59
• GCD of 14, 37, 24, 42
• GCD of 78, 82, 26, 73

1. What is the GCD of 24, 42, 63, 77?

GCD of 24, 42, 63, 77 is 1

2. Where do I get the detailed procedure to find GCD of 24, 42, 63, 77?

You can find a detailed procedure to find GCD of 24, 42, 63, 77 on our page.

3. How to find GCD of 24, 42, 63, 77 on a calculator?

You can find the GCD of 24, 42, 63, 77 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.