GCD of 716, 408, 96, 630 Calculator

Given Input numbers are 716, 408, 96, 630

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

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Greatest Common Divisior

We found the divisors of 716, 408, 96, 630 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 716, 408, 96, 630 is 2.

Therefore, GCD of numbers 716, 408, 96, 630 is 2

Given Input Data is 716, 408, 96, 630

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

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

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(716, 408) = 73032

GCD(716, 408) = ( 716 x 408 ) / 73032

GCD(716, 408) = 292128 / 73032

GCD(716, 408) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 96

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

LCM(4, 96) = 96

GCD(4, 96) = ( 4 x 96 ) / 96

GCD(4, 96) = 384 / 96

GCD(4, 96) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 630

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

LCM(4, 630) = 1260

GCD(4, 630) = ( 4 x 630 ) / 1260

GCD(4, 630) = 2520 / 1260

GCD(4, 630) = 2

GCD of 716, 408, 96, 630 is 2

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1. What is the GCD of 716, 408, 96, 630?

GCD of 716, 408, 96, 630 is 2

2. Where do I get the detailed procedure to find GCD of 716, 408, 96, 630?

You can find a detailed procedure to find GCD of 716, 408, 96, 630 on our page.

3. How to find GCD of 716, 408, 96, 630 on a calculator?

You can find the GCD of 716, 408, 96, 630 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.