GCD of 949, 887, 16, 101 Calculator

Given Input numbers are 949, 887, 16, 101

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

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 887

List of positive integer divisors of 887 that divides 887 without a remainder.

1, 887

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Greatest Common Divisior

We found the divisors of 949, 887, 16, 101 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 949, 887, 16, 101 is 1.

Therefore, GCD of numbers 949, 887, 16, 101 is 1

Given Input Data is 949, 887, 16, 101

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

Prime Factorization of 949 is 13 x 73

Prime Factorization of 887 is 887

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

Prime Factorization of 101 is 101

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(949, 887) = 841763

GCD(949, 887) = ( 949 x 887 ) / 841763

GCD(949, 887) = 841763 / 841763

GCD(949, 887) = 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 101

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

LCM(1, 101) = 101

GCD(1, 101) = ( 1 x 101 ) / 101

GCD(1, 101) = 101 / 101

GCD(1, 101) = 1

GCD of 949, 887, 16, 101 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 950, 115, 38, 417
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• GCD of 800, 728, 25, 150

1. What is the GCD of 949, 887, 16, 101?

GCD of 949, 887, 16, 101 is 1

2. Where do I get the detailed procedure to find GCD of 949, 887, 16, 101?

You can find a detailed procedure to find GCD of 949, 887, 16, 101 on our page.

3. How to find GCD of 949, 887, 16, 101 on a calculator?

You can find the GCD of 949, 887, 16, 101 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.