GCD of 43, 67, 36, 49 Calculator

Given Input numbers are 43, 67, 36, 49

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

Divisors of 43

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

1, 43

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

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 43, 67, 36, 49 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 43, 67, 36, 49 is 1.

Therefore, GCD of numbers 43, 67, 36, 49 is 1

Given Input Data is 43, 67, 36, 49

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

Prime Factorization of 43 is 43

Prime Factorization of 67 is 67

Prime Factorization of 36 is 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(43, 67) = 2881

GCD(43, 67) = ( 43 x 67 ) / 2881

GCD(43, 67) = 2881 / 2881

GCD(43, 67) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 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 43, 67, 36, 49 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 95, 25, 19, 41
• GCD of 80, 34, 16, 86
• GCD of 29, 82, 12, 83
• GCD of 12, 88, 15, 39
• GCD of 58, 69, 71, 23

1. What is the GCD of 43, 67, 36, 49?

GCD of 43, 67, 36, 49 is 1

2. Where do I get the detailed procedure to find GCD of 43, 67, 36, 49?

You can find a detailed procedure to find GCD of 43, 67, 36, 49 on our page.

3. How to find GCD of 43, 67, 36, 49 on a calculator?

You can find the GCD of 43, 67, 36, 49 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.