GCD of 432, 780, 648, 614 Calculator

Given Input numbers are 432, 780, 648, 614

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 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

GCD of numbers is the greatest common divisor

So, the GCD (432, 780, 648, 614) = 2.

Given numbers are 432, 780, 648, 614

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 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 614 are 2 x 307

The highest common occurrence is 2¹

Therefore, GCD of 432, 780, 648, 614 is 2.

Given numbers are 432, 780, 648, 614

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

Apply this formula for all numbers.

Step1:

LCM(432, 780) = 28080

GCD(432, 780) = ( 432 x 780 ) / 28080

= 432 / 780

= 432

Step2:

LCM(12, 648) = 648

GCD(12, 648) = ( 12 x 648 ) / 648

= 12 / 648

= 12

Step3:

LCM(12, 614) = 3684

GCD(12, 614) = ( 12 x 614 ) / 3684

= 12 / 614

= 12

So, Greatest Common Divisor of 432, 780, 648, 614 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 565, 978, 380, 608
• GCD of 652, 689, 264, 432
• GCD of 321, 335, 373, 748
• GCD of 743, 278, 806, 234
• GCD of 147, 167, 476, 659

Given numbers are 432, 780, 648, 614
The greatest common divisor of numbers 432, 780, 648, 614 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 780, 648, 614 is 2.

1. What is the GCD of 432, 780, 648, 614?

GCD of given numbers 432, 780, 648, 614 is 2

2. How to calculate the greatest common divisor of 432, 780, 648, 614?

We can find the highest common divisor of 432, 780, 648, 614 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, 780, 648, 614 i.e 2.

3. How can I use the GCD of 432, 780, 648, 614Calculator?

Out the numbers 432, 780, 648, 614 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.