GCD of 432, 748, 784, 802 Calculator

Given Input numbers are 432, 748, 784, 802

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 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

GCD of numbers is the greatest common divisor

So, the GCD (432, 748, 784, 802) = 2.

Given numbers are 432, 748, 784, 802

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 748 are 2 x 2 x 11 x 17

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 802 are 2 x 401

The highest common occurrence is 2¹

Therefore, GCD of 432, 748, 784, 802 is 2.

Given numbers are 432, 748, 784, 802

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

Apply this formula for all numbers.

Step1:

LCM(432, 748) = 80784

GCD(432, 748) = ( 432 x 748 ) / 80784

= 432 / 748

= 432

Step2:

LCM(4, 784) = 784

GCD(4, 784) = ( 4 x 784 ) / 784

= 4 / 784

= 4

Step3:

LCM(4, 802) = 1604

GCD(4, 802) = ( 4 x 802 ) / 1604

= 4 / 802

= 4

So, Greatest Common Divisor of 432, 748, 784, 802 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 349, 655, 194, 786
• GCD of 866, 292, 654, 195
• GCD of 221, 108, 583, 405
• GCD of 394, 625, 434, 484
• GCD of 926, 608, 430, 326

Given numbers are 432, 748, 784, 802
The greatest common divisor of numbers 432, 748, 784, 802 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 748, 784, 802 is 2.

1. What is the GCD of 432, 748, 784, 802?

GCD of given numbers 432, 748, 784, 802 is 2

2. How to calculate the greatest common divisor of 432, 748, 784, 802?

We can find the highest common divisor of 432, 748, 784, 802 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, 748, 784, 802 i.e 2.

3. How can I use the GCD of 432, 748, 784, 802Calculator?

Out the numbers 432, 748, 784, 802 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.