GCD of 36, 41, 71, 70 Calculator

Given Input numbers are 36, 41, 71, 70

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

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 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 71

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

1, 71

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Greatest Common Divisior

We found the divisors of 36, 41, 71, 70 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 41, 71, 70 is 1.

Therefore, GCD of numbers 36, 41, 71, 70 is 1

Given Input Data is 36, 41, 71, 70

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

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 41 is 41

Prime Factorization of 71 is 71

Prime Factorization of 70 is 2 x 5 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(36, 41) = 1476

GCD(36, 41) = ( 36 x 41 ) / 1476

GCD(36, 41) = 1476 / 1476

GCD(36, 41) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 70

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

LCM(1, 70) = 70

GCD(1, 70) = ( 1 x 70 ) / 70

GCD(1, 70) = 70 / 70

GCD(1, 70) = 1

GCD of 36, 41, 71, 70 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 71, 65, 93, 16
• GCD of 82, 77, 74, 50
• GCD of 70, 68, 17, 99
• GCD of 29, 91, 52, 23
• GCD of 19, 64, 24, 45

1. What is the GCD of 36, 41, 71, 70?

GCD of 36, 41, 71, 70 is 1

2. Where do I get the detailed procedure to find GCD of 36, 41, 71, 70?

You can find a detailed procedure to find GCD of 36, 41, 71, 70 on our page.

3. How to find GCD of 36, 41, 71, 70 on a calculator?

You can find the GCD of 36, 41, 71, 70 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.