GCD of 37, 94, 71, 89 Calculator

Given Input numbers are 37, 94, 71, 89

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

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 94

List of positive integer divisors of 94 that divides 94 without a remainder.

1, 2, 47, 94

Divisors of 71

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

1, 71

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Greatest Common Divisior

We found the divisors of 37, 94, 71, 89 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 94, 71, 89 is 1.

Therefore, GCD of numbers 37, 94, 71, 89 is 1

Given Input Data is 37, 94, 71, 89

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

Prime Factorization of 37 is 37

Prime Factorization of 94 is 2 x 47

Prime Factorization of 71 is 71

Prime Factorization of 89 is 89

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(37, 94) = 3478

GCD(37, 94) = ( 37 x 94 ) / 3478

GCD(37, 94) = 3478 / 3478

GCD(37, 94) = 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 89

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

LCM(1, 89) = 89

GCD(1, 89) = ( 1 x 89 ) / 89

GCD(1, 89) = 89 / 89

GCD(1, 89) = 1

GCD of 37, 94, 71, 89 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 31, 95, 66, 83
• GCD of 79, 44, 38, 36
• GCD of 16, 31, 25, 57
• GCD of 25, 16, 37, 14
• GCD of 62, 93, 50, 22

1. What is the GCD of 37, 94, 71, 89?

GCD of 37, 94, 71, 89 is 1

2. Where do I get the detailed procedure to find GCD of 37, 94, 71, 89?

You can find a detailed procedure to find GCD of 37, 94, 71, 89 on our page.

3. How to find GCD of 37, 94, 71, 89 on a calculator?

You can find the GCD of 37, 94, 71, 89 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.