GCD of 59, 49, 85, 43 Calculator

Given Input numbers are 59, 49, 85, 43

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

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 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Greatest Common Divisior

We found the divisors of 59, 49, 85, 43 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 49, 85, 43 is 1.

Therefore, GCD of numbers 59, 49, 85, 43 is 1

Given Input Data is 59, 49, 85, 43

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

Prime Factorization of 59 is 59

Prime Factorization of 49 is 7 x 7

Prime Factorization of 85 is 5 x 17

Prime Factorization of 43 is 43

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(59, 49) = 2891

GCD(59, 49) = ( 59 x 49 ) / 2891

GCD(59, 49) = 2891 / 2891

GCD(59, 49) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 85

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

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

GCD(1, 85) = 85 / 85

GCD(1, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 43

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

LCM(1, 43) = 43

GCD(1, 43) = ( 1 x 43 ) / 43

GCD(1, 43) = 43 / 43

GCD(1, 43) = 1

GCD of 59, 49, 85, 43 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 43, 37, 36, 21
• GCD of 93, 36, 23, 32
• GCD of 40, 48, 43, 88
• GCD of 89, 87, 65, 83
• GCD of 29, 81, 19, 94

1. What is the GCD of 59, 49, 85, 43?

GCD of 59, 49, 85, 43 is 1

2. Where do I get the detailed procedure to find GCD of 59, 49, 85, 43?

You can find a detailed procedure to find GCD of 59, 49, 85, 43 on our page.

3. How to find GCD of 59, 49, 85, 43 on a calculator?

You can find the GCD of 59, 49, 85, 43 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.