GCD of 42, 77, 40, 13 Calculator

Given Input numbers are 42, 77, 40, 13

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

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 77

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

1, 7, 11, 77

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Greatest Common Divisior

We found the divisors of 42, 77, 40, 13 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 77, 40, 13 is 1.

Therefore, GCD of numbers 42, 77, 40, 13 is 1

Given Input Data is 42, 77, 40, 13

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 77 is 7 x 11

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 13 is 13

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(42, 77) = 462

GCD(42, 77) = ( 42 x 77 ) / 462

GCD(42, 77) = 3234 / 462

GCD(42, 77) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 40

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

LCM(7, 40) = 280

GCD(7, 40) = ( 7 x 40 ) / 280

GCD(7, 40) = 280 / 280

GCD(7, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

GCD of 42, 77, 40, 13 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 20, 65, 31, 58
• GCD of 98, 11, 35, 56
• GCD of 20, 88, 57, 46
• GCD of 58, 91, 53, 88
• GCD of 59, 73, 48, 25

1. What is the GCD of 42, 77, 40, 13?

GCD of 42, 77, 40, 13 is 1

2. Where do I get the detailed procedure to find GCD of 42, 77, 40, 13?

You can find a detailed procedure to find GCD of 42, 77, 40, 13 on our page.

3. How to find GCD of 42, 77, 40, 13 on a calculator?

You can find the GCD of 42, 77, 40, 13 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.