GCD of 432, 364, 758, 496 Calculator

Given Input numbers are 432, 364, 758, 496

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 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

GCD of numbers is the greatest common divisor

So, the GCD (432, 364, 758, 496) = 2.

Given numbers are 432, 364, 758, 496

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 364 are 2 x 2 x 7 x 13

Prime factors of 758 are 2 x 379

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

The highest common occurrence is 2¹

Therefore, GCD of 432, 364, 758, 496 is 2.

Given numbers are 432, 364, 758, 496

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

Apply this formula for all numbers.

Step1:

LCM(432, 364) = 39312

GCD(432, 364) = ( 432 x 364 ) / 39312

= 432 / 364

= 432

Step2:

LCM(4, 758) = 1516

GCD(4, 758) = ( 4 x 758 ) / 1516

= 4 / 758

= 4

Step3:

LCM(2, 496) = 496

GCD(2, 496) = ( 2 x 496 ) / 496

= 2 / 496

= 2

So, Greatest Common Divisor of 432, 364, 758, 496 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 733, 890, 623, 574
• GCD of 991, 683, 897, 319
• GCD of 837, 167, 731, 857
• GCD of 886, 667, 302, 900
• GCD of 755, 751, 838, 637

Given numbers are 432, 364, 758, 496
The greatest common divisor of numbers 432, 364, 758, 496 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 364, 758, 496 is 2.

1. What is the GCD of 432, 364, 758, 496?

GCD of given numbers 432, 364, 758, 496 is 2

2. How to calculate the greatest common divisor of 432, 364, 758, 496?

We can find the highest common divisor of 432, 364, 758, 496 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, 364, 758, 496 i.e 2.

3. How can I use the GCD of 432, 364, 758, 496Calculator?

Out the numbers 432, 364, 758, 496 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.