GCD of 432, 286, 620, 714 Calculator

Given Input numbers are 432, 286, 620, 714

In the factoring method, we have to find the divisors of all numbers

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

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

Divisors of 286 :

The positive integer divisors of 286 that completely divides 286 are.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 620 :

The positive integer divisors of 620 that completely divides 620 are.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (432, 286, 620, 714) = 2.

Given numbers are 432, 286, 620, 714

The list of prime factors of all numbers are

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 286 are 2 x 11 x 13

Prime factors of 620 are 2 x 2 x 5 x 31

Prime factors of 714 are 2 x 3 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 432, 286, 620, 714 is 2.

Given numbers are 432, 286, 620, 714

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(432, 286) = 61776

GCD(432, 286) = ( 432 x 286 ) / 61776

= 432 / 286

= 432

Step2:

LCM(2, 620) = 620

GCD(2, 620) = ( 2 x 620 ) / 620

= 2 / 620

= 2

Step3:

LCM(2, 714) = 714

GCD(2, 714) = ( 2 x 714 ) / 714

= 2 / 714

= 2

So, Greatest Common Divisor of 432, 286, 620, 714 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 737, 185, 937, 300
• GCD of 278, 940, 513, 435
• GCD of 453, 500, 330, 494
• GCD of 751, 111, 811, 903
• GCD of 545, 148, 671, 368

Given numbers are 432, 286, 620, 714
The greatest common divisor of numbers 432, 286, 620, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 286, 620, 714 is 2.

1. What is the GCD of 432, 286, 620, 714?

GCD of given numbers 432, 286, 620, 714 is 2

2. How to calculate the greatest common divisor of 432, 286, 620, 714?

We can find the highest common divisor of 432, 286, 620, 714 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 432, 286, 620, 714 i.e 2.

3. How can I use the GCD of 432, 286, 620, 714Calculator?

Out the numbers 432, 286, 620, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.