GCD of 714, 432, 63, 156 Calculator

Given Input numbers are 714, 432, 63, 156

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 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Greatest Common Divisior

We found the divisors of 714, 432, 63, 156 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 432, 63, 156 is 3.

Therefore, GCD of numbers 714, 432, 63, 156 is 3

Given Input Data is 714, 432, 63, 156

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 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 156 is 2 x 2 x 3 x 13

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 432) = 51408

GCD(714, 432) = ( 714 x 432 ) / 51408

GCD(714, 432) = 308448 / 51408

GCD(714, 432) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 63

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

LCM(6, 63) = 126

GCD(6, 63) = ( 6 x 63 ) / 126

GCD(6, 63) = 378 / 126

GCD(6, 63) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 156

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

LCM(3, 156) = 156

GCD(3, 156) = ( 3 x 156 ) / 156

GCD(3, 156) = 468 / 156

GCD(3, 156) = 3

GCD of 714, 432, 63, 156 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 212, 522, 37, 802
• GCD of 552, 626, 89, 727
• GCD of 295, 947, 94, 314
• GCD of 109, 204, 73, 272
• GCD of 661, 449, 63, 949

1. What is the GCD of 714, 432, 63, 156?

GCD of 714, 432, 63, 156 is 3

2. Where do I get the detailed procedure to find GCD of 714, 432, 63, 156?

You can find a detailed procedure to find GCD of 714, 432, 63, 156 on our page.

3. How to find GCD of 714, 432, 63, 156 on a calculator?

You can find the GCD of 714, 432, 63, 156 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.