GCD of 40, 47, 46, 77 Calculator

Given Input numbers are 40, 47, 46, 77

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

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 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

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 40, 47, 46, 77 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 47, 46, 77 is 1.

Therefore, GCD of numbers 40, 47, 46, 77 is 1

Given Input Data is 40, 47, 46, 77

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

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

Prime Factorization of 47 is 47

Prime Factorization of 46 is 2 x 23

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(40, 47) = 1880

GCD(40, 47) = ( 40 x 47 ) / 1880

GCD(40, 47) = 1880 / 1880

GCD(40, 47) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 46

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

LCM(1, 46) = 46

GCD(1, 46) = ( 1 x 46 ) / 46

GCD(1, 46) = 46 / 46

GCD(1, 46) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

GCD of 40, 47, 46, 77 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 96, 30, 93, 65
• GCD of 21, 21, 67, 92
• GCD of 54, 51, 25, 92
• GCD of 73, 27, 87, 73
• GCD of 95, 24, 30, 90

1. What is the GCD of 40, 47, 46, 77?

GCD of 40, 47, 46, 77 is 1

2. Where do I get the detailed procedure to find GCD of 40, 47, 46, 77?

You can find a detailed procedure to find GCD of 40, 47, 46, 77 on our page.

3. How to find GCD of 40, 47, 46, 77 on a calculator?

You can find the GCD of 40, 47, 46, 77 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.