GCD of 782, 804, 432, 358 Calculator

Given Input numbers are 782, 804, 432, 358

In the factoring method, we have to find the divisors of all numbers

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

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 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

GCD of numbers is the greatest common divisor

So, the GCD (782, 804, 432, 358) = 2.

Given numbers are 782, 804, 432, 358

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 804 are 2 x 2 x 3 x 67

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 358 are 2 x 179

The highest common occurrence is 2¹

Therefore, GCD of 782, 804, 432, 358 is 2.

Given numbers are 782, 804, 432, 358

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

Apply this formula for all numbers.

Step1:

LCM(782, 804) = 314364

GCD(782, 804) = ( 782 x 804 ) / 314364

= 782 / 804

= 782

Step2:

LCM(2, 432) = 432

GCD(2, 432) = ( 2 x 432 ) / 432

= 2 / 432

= 2

Step3:

LCM(2, 358) = 358

GCD(2, 358) = ( 2 x 358 ) / 358

= 2 / 358

= 2

So, Greatest Common Divisor of 782, 804, 432, 358 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 731, 316, 392, 143
• GCD of 926, 145, 866, 994
• GCD of 288, 354, 637, 686
• GCD of 394, 219, 306, 754
• GCD of 879, 824, 570, 662

Given numbers are 782, 804, 432, 358
The greatest common divisor of numbers 782, 804, 432, 358 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 804, 432, 358 is 2.

1. What is the GCD of 782, 804, 432, 358?

GCD of given numbers 782, 804, 432, 358 is 2

2. How to calculate the greatest common divisor of 782, 804, 432, 358?

We can find the highest common divisor of 782, 804, 432, 358 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 782, 804, 432, 358 i.e 2.

3. How can I use the GCD of 782, 804, 432, 358Calculator?

Out the numbers 782, 804, 432, 358 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.