GCD of 968, 996, 964, 914 Calculator

Given Input numbers are 968, 996, 964, 914

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

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 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 964

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

1, 2, 4, 241, 482, 964

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 968, 996, 964, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 968, 996, 964, 914 is 2.

Therefore, GCD of numbers 968, 996, 964, 914 is 2

Given Input Data is 968, 996, 964, 914

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

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

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 914 is 2 x 457

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(968, 996) = 241032

GCD(968, 996) = ( 968 x 996 ) / 241032

GCD(968, 996) = 964128 / 241032

GCD(968, 996) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 964

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

LCM(4, 964) = 964

GCD(4, 964) = ( 4 x 964 ) / 964

GCD(4, 964) = 3856 / 964

GCD(4, 964) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 914

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

LCM(4, 914) = 1828

GCD(4, 914) = ( 4 x 914 ) / 1828

GCD(4, 914) = 3656 / 1828

GCD(4, 914) = 2

GCD of 968, 996, 964, 914 is 2

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1. What is the GCD of 968, 996, 964, 914?

GCD of 968, 996, 964, 914 is 2

2. Where do I get the detailed procedure to find GCD of 968, 996, 964, 914?

You can find a detailed procedure to find GCD of 968, 996, 964, 914 on our page.

3. How to find GCD of 968, 996, 964, 914 on a calculator?

You can find the GCD of 968, 996, 964, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.