GCD of 16, 946, 678, 964 Calculator

Given Input numbers are 16, 946, 678, 964

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

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Greatest Common Divisior

We found the divisors of 16, 946, 678, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 946, 678, 964 is 2.

Therefore, GCD of numbers 16, 946, 678, 964 is 2

Given Input Data is 16, 946, 678, 964

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

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

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 964 is 2 x 2 x 241

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(16, 946) = 7568

GCD(16, 946) = ( 16 x 946 ) / 7568

GCD(16, 946) = 15136 / 7568

GCD(16, 946) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 678

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

LCM(2, 678) = 678

GCD(2, 678) = ( 2 x 678 ) / 678

GCD(2, 678) = 1356 / 678

GCD(2, 678) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 964

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

LCM(2, 964) = 964

GCD(2, 964) = ( 2 x 964 ) / 964

GCD(2, 964) = 1928 / 964

GCD(2, 964) = 2

GCD of 16, 946, 678, 964 is 2

Here are some samples of GCD of Numbers calculations.

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• GCD of 44, 533, 291, 105

1. What is the GCD of 16, 946, 678, 964?

GCD of 16, 946, 678, 964 is 2

2. Where do I get the detailed procedure to find GCD of 16, 946, 678, 964?

You can find a detailed procedure to find GCD of 16, 946, 678, 964 on our page.

3. How to find GCD of 16, 946, 678, 964 on a calculator?

You can find the GCD of 16, 946, 678, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.