GCD of 432, 786, 674, 214 Calculator

Given Input numbers are 432, 786, 674, 214

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 786 :

The positive integer divisors of 786 that completely divides 786 are.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

GCD of numbers is the greatest common divisor

So, the GCD (432, 786, 674, 214) = 2.

Given numbers are 432, 786, 674, 214

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 786 are 2 x 3 x 131

Prime factors of 674 are 2 x 337

Prime factors of 214 are 2 x 107

The highest common occurrence is 2¹

Therefore, GCD of 432, 786, 674, 214 is 2.

Given numbers are 432, 786, 674, 214

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

Apply this formula for all numbers.

Step1:

LCM(432, 786) = 56592

GCD(432, 786) = ( 432 x 786 ) / 56592

= 432 / 786

= 432

Step2:

LCM(6, 674) = 2022

GCD(6, 674) = ( 6 x 674 ) / 2022

= 6 / 674

= 6

Step3:

LCM(2, 214) = 214

GCD(2, 214) = ( 2 x 214 ) / 214

= 2 / 214

= 2

So, Greatest Common Divisor of 432, 786, 674, 214 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 852, 455, 825, 952
• GCD of 384, 725, 300, 462
• GCD of 600, 145, 267, 709
• GCD of 100, 260, 187, 217
• GCD of 334, 920, 479, 655

Given numbers are 432, 786, 674, 214
The greatest common divisor of numbers 432, 786, 674, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 786, 674, 214 is 2.

1. What is the GCD of 432, 786, 674, 214?

GCD of given numbers 432, 786, 674, 214 is 2

2. How to calculate the greatest common divisor of 432, 786, 674, 214?

We can find the highest common divisor of 432, 786, 674, 214 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, 786, 674, 214 i.e 2.

3. How can I use the GCD of 432, 786, 674, 214Calculator?

Out the numbers 432, 786, 674, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.