GCD of 159, 827, 16, 948 Calculator

Given Input numbers are 159, 827, 16, 948

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 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Greatest Common Divisior

We found the divisors of 159, 827, 16, 948 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 827, 16, 948 is 1.

Therefore, GCD of numbers 159, 827, 16, 948 is 1

Given Input Data is 159, 827, 16, 948

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

Prime Factorization of 159 is 3 x 53

Prime Factorization of 827 is 827

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 948 is 2 x 2 x 3 x 79

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, 827) = 131493

GCD(159, 827) = ( 159 x 827 ) / 131493

GCD(159, 827) = 131493 / 131493

GCD(159, 827) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 948

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

LCM(1, 948) = 948

GCD(1, 948) = ( 1 x 948 ) / 948

GCD(1, 948) = 948 / 948

GCD(1, 948) = 1

GCD of 159, 827, 16, 948 is 1

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1. What is the GCD of 159, 827, 16, 948?

GCD of 159, 827, 16, 948 is 1

2. Where do I get the detailed procedure to find GCD of 159, 827, 16, 948?

You can find a detailed procedure to find GCD of 159, 827, 16, 948 on our page.

3. How to find GCD of 159, 827, 16, 948 on a calculator?

You can find the GCD of 159, 827, 16, 948 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.