GCD of 432, 712, 992, 704 Calculator

Given Input numbers are 432, 712, 992, 704

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 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

GCD of numbers is the greatest common divisor

So, the GCD (432, 712, 992, 704) = 8.

Given numbers are 432, 712, 992, 704

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 712 are 2 x 2 x 2 x 89

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

The highest common occurrence is 2³

Therefore, GCD of 432, 712, 992, 704 is 8.

Given numbers are 432, 712, 992, 704

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

Apply this formula for all numbers.

Step1:

LCM(432, 712) = 38448

GCD(432, 712) = ( 432 x 712 ) / 38448

= 432 / 712

= 432

Step2:

LCM(8, 992) = 992

GCD(8, 992) = ( 8 x 992 ) / 992

= 8 / 992

= 8

Step3:

LCM(8, 704) = 704

GCD(8, 704) = ( 8 x 704 ) / 704

= 8 / 704

= 8

So, Greatest Common Divisor of 432, 712, 992, 704 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 584, 172, 251, 567
• GCD of 848, 619, 891, 459
• GCD of 478, 261, 519, 461
• GCD of 921, 555, 818, 602
• GCD of 501, 316, 470, 558

Given numbers are 432, 712, 992, 704
The greatest common divisor of numbers 432, 712, 992, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 712, 992, 704 is 8.

1. What is the GCD of 432, 712, 992, 704?

GCD of given numbers 432, 712, 992, 704 is 8

2. How to calculate the greatest common divisor of 432, 712, 992, 704?

We can find the highest common divisor of 432, 712, 992, 704 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, 712, 992, 704 i.e 8.

3. How can I use the GCD of 432, 712, 992, 704Calculator?

Out the numbers 432, 712, 992, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.