GCD of 65, 39, 45, 70 Calculator

Given Input numbers are 65, 39, 45, 70

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

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 39

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

1, 3, 13, 39

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

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 65, 39, 45, 70 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 65, 39, 45, 70 is 1.

Therefore, GCD of numbers 65, 39, 45, 70 is 1

Given Input Data is 65, 39, 45, 70

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

Prime Factorization of 65 is 5 x 13

Prime Factorization of 39 is 3 x 13

Prime Factorization of 45 is 3 x 3 x 5

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(65, 39) = 195

GCD(65, 39) = ( 65 x 39 ) / 195

GCD(65, 39) = 2535 / 195

GCD(65, 39) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 45

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

LCM(13, 45) = 585

GCD(13, 45) = ( 13 x 45 ) / 585

GCD(13, 45) = 585 / 585

GCD(13, 45) = 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 65, 39, 45, 70 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 74, 33, 62, 76
• GCD of 54, 37, 73, 82
• GCD of 99, 37, 95, 30
• GCD of 29, 82, 90, 93
• GCD of 17, 70, 14, 68

1. What is the GCD of 65, 39, 45, 70?

GCD of 65, 39, 45, 70 is 1

2. Where do I get the detailed procedure to find GCD of 65, 39, 45, 70?

You can find a detailed procedure to find GCD of 65, 39, 45, 70 on our page.

3. How to find GCD of 65, 39, 45, 70 on a calculator?

You can find the GCD of 65, 39, 45, 70 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.