GCD of 67, 64, 59, 56 Calculator

Given Input numbers are 67, 64, 59, 56

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

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

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 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Greatest Common Divisior

We found the divisors of 67, 64, 59, 56 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 67, 64, 59, 56 is 1.

Therefore, GCD of numbers 67, 64, 59, 56 is 1

Given Input Data is 67, 64, 59, 56

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

Prime Factorization of 67 is 67

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

Prime Factorization of 59 is 59

Prime Factorization of 56 is 2 x 2 x 2 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(67, 64) = 4288

GCD(67, 64) = ( 67 x 64 ) / 4288

GCD(67, 64) = 4288 / 4288

GCD(67, 64) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 56

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

LCM(1, 56) = 56

GCD(1, 56) = ( 1 x 56 ) / 56

GCD(1, 56) = 56 / 56

GCD(1, 56) = 1

GCD of 67, 64, 59, 56 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 96, 14, 18, 91
• GCD of 50, 33, 80, 25
• GCD of 16, 46, 89, 40
• GCD of 98, 84, 53, 46
• GCD of 57, 55, 72, 45

1. What is the GCD of 67, 64, 59, 56?

GCD of 67, 64, 59, 56 is 1

2. Where do I get the detailed procedure to find GCD of 67, 64, 59, 56?

You can find a detailed procedure to find GCD of 67, 64, 59, 56 on our page.

3. How to find GCD of 67, 64, 59, 56 on a calculator?

You can find the GCD of 67, 64, 59, 56 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.