GCD of 945, 851, 16, 684 Calculator

Given Input numbers are 945, 851, 16, 684

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

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 851

List of positive integer divisors of 851 that divides 851 without a remainder.

1, 23, 37, 851

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Greatest Common Divisior

We found the divisors of 945, 851, 16, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 851, 16, 684 is 1.

Therefore, GCD of numbers 945, 851, 16, 684 is 1

Given Input Data is 945, 851, 16, 684

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

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 851 is 23 x 37

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

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

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(945, 851) = 804195

GCD(945, 851) = ( 945 x 851 ) / 804195

GCD(945, 851) = 804195 / 804195

GCD(945, 851) = 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 684

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

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

GCD(1, 684) = 684 / 684

GCD(1, 684) = 1

GCD of 945, 851, 16, 684 is 1

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1. What is the GCD of 945, 851, 16, 684?

GCD of 945, 851, 16, 684 is 1

2. Where do I get the detailed procedure to find GCD of 945, 851, 16, 684?

You can find a detailed procedure to find GCD of 945, 851, 16, 684 on our page.

3. How to find GCD of 945, 851, 16, 684 on a calculator?

You can find the GCD of 945, 851, 16, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.