GCD of 714, 132, 24, 616 Calculator

Given Input numbers are 714, 132, 24, 616

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

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Greatest Common Divisior

We found the divisors of 714, 132, 24, 616 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 132, 24, 616 is 2.

Therefore, GCD of numbers 714, 132, 24, 616 is 2

Given Input Data is 714, 132, 24, 616

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

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

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(714, 132) = 15708

GCD(714, 132) = ( 714 x 132 ) / 15708

GCD(714, 132) = 94248 / 15708

GCD(714, 132) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 24

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

LCM(6, 24) = 24

GCD(6, 24) = ( 6 x 24 ) / 24

GCD(6, 24) = 144 / 24

GCD(6, 24) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 616

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

LCM(6, 616) = 1848

GCD(6, 616) = ( 6 x 616 ) / 1848

GCD(6, 616) = 3696 / 1848

GCD(6, 616) = 2

GCD of 714, 132, 24, 616 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 993, 264, 13, 806
• GCD of 826, 901, 42, 322
• GCD of 758, 221, 62, 172
• GCD of 754, 778, 80, 604
• GCD of 378, 108, 38, 647

1. What is the GCD of 714, 132, 24, 616?

GCD of 714, 132, 24, 616 is 2

2. Where do I get the detailed procedure to find GCD of 714, 132, 24, 616?

You can find a detailed procedure to find GCD of 714, 132, 24, 616 on our page.

3. How to find GCD of 714, 132, 24, 616 on a calculator?

You can find the GCD of 714, 132, 24, 616 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.