GCD of 64, 74, 39, 71 Calculator

Given Input numbers are 64, 74, 39, 71

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

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 71

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

1, 71

Greatest Common Divisior

We found the divisors of 64, 74, 39, 71 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 64, 74, 39, 71 is 1.

Therefore, GCD of numbers 64, 74, 39, 71 is 1

Given Input Data is 64, 74, 39, 71

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

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 74 is 2 x 37

Prime Factorization of 39 is 3 x 13

Prime Factorization of 71 is 71

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(64, 74) = 2368

GCD(64, 74) = ( 64 x 74 ) / 2368

GCD(64, 74) = 4736 / 2368

GCD(64, 74) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 39

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

LCM(2, 39) = 78

GCD(2, 39) = ( 2 x 39 ) / 78

GCD(2, 39) = 78 / 78

GCD(2, 39) = 1

Step3:

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

GCD of 64, 74, 39, 71 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 32, 47, 76, 28
• GCD of 54, 55, 83, 72
• GCD of 48, 41, 59, 60
• GCD of 29, 45, 98, 23
• GCD of 84, 35, 44, 98

1. What is the GCD of 64, 74, 39, 71?

GCD of 64, 74, 39, 71 is 1

2. Where do I get the detailed procedure to find GCD of 64, 74, 39, 71?

You can find a detailed procedure to find GCD of 64, 74, 39, 71 on our page.

3. How to find GCD of 64, 74, 39, 71 on a calculator?

You can find the GCD of 64, 74, 39, 71 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.