GCD of 71, 59, 49, 46 Calculator

Given Input numbers are 71, 59, 49, 46

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

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 46

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

1, 2, 23, 46

Greatest Common Divisior

We found the divisors of 71, 59, 49, 46 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 59, 49, 46 is 1.

Therefore, GCD of numbers 71, 59, 49, 46 is 1

Given Input Data is 71, 59, 49, 46

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

Prime Factorization of 71 is 71

Prime Factorization of 59 is 59

Prime Factorization of 49 is 7 x 7

Prime Factorization of 46 is 2 x 23

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(71, 59) = 4189

GCD(71, 59) = ( 71 x 59 ) / 4189

GCD(71, 59) = 4189 / 4189

GCD(71, 59) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

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

GCD of 71, 59, 49, 46 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 66, 84, 29, 19
• GCD of 96, 79, 27, 79
• GCD of 88, 22, 78, 21
• GCD of 68, 84, 38, 43
• GCD of 53, 28, 13, 12

1. What is the GCD of 71, 59, 49, 46?

GCD of 71, 59, 49, 46 is 1

2. Where do I get the detailed procedure to find GCD of 71, 59, 49, 46?

You can find a detailed procedure to find GCD of 71, 59, 49, 46 on our page.

3. How to find GCD of 71, 59, 49, 46 on a calculator?

You can find the GCD of 71, 59, 49, 46 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.