GCD of 159, 968, 65, 448 Calculator

Given Input numbers are 159, 968, 65, 448

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

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 65

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

1, 5, 13, 65

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Greatest Common Divisior

We found the divisors of 159, 968, 65, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 968, 65, 448 is 1.

Therefore, GCD of numbers 159, 968, 65, 448 is 1

Given Input Data is 159, 968, 65, 448

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

Prime Factorization of 159 is 3 x 53

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 65 is 5 x 13

Prime Factorization of 448 is 2 x 2 x 2 x 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(159, 968) = 153912

GCD(159, 968) = ( 159 x 968 ) / 153912

GCD(159, 968) = 153912 / 153912

GCD(159, 968) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 448

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

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

GCD(1, 448) = 448 / 448

GCD(1, 448) = 1

GCD of 159, 968, 65, 448 is 1

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1. What is the GCD of 159, 968, 65, 448?

GCD of 159, 968, 65, 448 is 1

2. Where do I get the detailed procedure to find GCD of 159, 968, 65, 448?

You can find a detailed procedure to find GCD of 159, 968, 65, 448 on our page.

3. How to find GCD of 159, 968, 65, 448 on a calculator?

You can find the GCD of 159, 968, 65, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.