GCD of 65, 95, 42, 64 Calculator

Given Input numbers are 65, 95, 42, 64

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 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 64

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

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

Greatest Common Divisior

We found the divisors of 65, 95, 42, 64 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 65, 95, 42, 64 is 1.

Therefore, GCD of numbers 65, 95, 42, 64 is 1

Given Input Data is 65, 95, 42, 64

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

Prime Factorization of 65 is 5 x 13

Prime Factorization of 95 is 5 x 19

Prime Factorization of 42 is 2 x 3 x 7

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

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, 95) = 1235

GCD(65, 95) = ( 65 x 95 ) / 1235

GCD(65, 95) = 6175 / 1235

GCD(65, 95) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 42

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

LCM(5, 42) = 210

GCD(5, 42) = ( 5 x 42 ) / 210

GCD(5, 42) = 210 / 210

GCD(5, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 64

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

LCM(1, 64) = 64

GCD(1, 64) = ( 1 x 64 ) / 64

GCD(1, 64) = 64 / 64

GCD(1, 64) = 1

GCD of 65, 95, 42, 64 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 67, 17, 23, 65
• GCD of 69, 10, 96, 29
• GCD of 74, 30, 98, 55
• GCD of 85, 16, 20, 11
• GCD of 20, 79, 15, 34

1. What is the GCD of 65, 95, 42, 64?

GCD of 65, 95, 42, 64 is 1

2. Where do I get the detailed procedure to find GCD of 65, 95, 42, 64?

You can find a detailed procedure to find GCD of 65, 95, 42, 64 on our page.

3. How to find GCD of 65, 95, 42, 64 on a calculator?

You can find the GCD of 65, 95, 42, 64 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.