GCD of 46, 59, 72, 49 Calculator

Given Input numbers are 46, 59, 72, 49

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

Divisors of 46

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

1, 2, 23, 46

Divisors of 59

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

1, 59

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 49

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

1, 7, 49

Greatest Common Divisior

We found the divisors of 46, 59, 72, 49 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 59, 72, 49 is 1.

Therefore, GCD of numbers 46, 59, 72, 49 is 1

Given Input Data is 46, 59, 72, 49

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

Prime Factorization of 46 is 2 x 23

Prime Factorization of 59 is 59

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 49 is 7 x 7

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(46, 59) = 2714

GCD(46, 59) = ( 46 x 59 ) / 2714

GCD(46, 59) = 2714 / 2714

GCD(46, 59) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

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

GCD of 46, 59, 72, 49 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 17, 60, 80, 24
• GCD of 94, 57, 95, 12
• GCD of 55, 67, 35, 30
• GCD of 99, 59, 66, 78
• GCD of 19, 92, 39, 45

1. What is the GCD of 46, 59, 72, 49?

GCD of 46, 59, 72, 49 is 1

2. Where do I get the detailed procedure to find GCD of 46, 59, 72, 49?

You can find a detailed procedure to find GCD of 46, 59, 72, 49 on our page.

3. How to find GCD of 46, 59, 72, 49 on a calculator?

You can find the GCD of 46, 59, 72, 49 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.