GCD of 436, 392, 726, 828 Calculator

Given Input numbers are 436, 392, 726, 828

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

Divisors of 436 :

The positive integer divisors of 436 that completely divides 436 are.

1, 2, 4, 109, 218, 436

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

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

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (436, 392, 726, 828) = 2.

Given numbers are 436, 392, 726, 828

The list of prime factors of all numbers are

Prime factors of 436 are 2 x 2 x 109

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 436, 392, 726, 828 is 2.

Given numbers are 436, 392, 726, 828

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

Apply this formula for all numbers.

Step1:

LCM(436, 392) = 42728

GCD(436, 392) = ( 436 x 392 ) / 42728

= 436 / 392

= 436

Step2:

LCM(4, 726) = 1452

GCD(4, 726) = ( 4 x 726 ) / 1452

= 4 / 726

= 4

Step3:

LCM(2, 828) = 828

GCD(2, 828) = ( 2 x 828 ) / 828

= 2 / 828

= 2

So, Greatest Common Divisor of 436, 392, 726, 828 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 150, 571, 710, 144
• GCD of 508, 403, 283, 394
• GCD of 113, 516, 109, 907
• GCD of 534, 471, 643, 877
• GCD of 996, 534, 806, 563

Given numbers are 436, 392, 726, 828
The greatest common divisor of numbers 436, 392, 726, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 436, 392, 726, 828 is 2.

1. What is the GCD of 436, 392, 726, 828?

GCD of given numbers 436, 392, 726, 828 is 2

2. How to calculate the greatest common divisor of 436, 392, 726, 828?

We can find the highest common divisor of 436, 392, 726, 828 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 436, 392, 726, 828 i.e 2.

3. How can I use the GCD of 436, 392, 726, 828Calculator?

Out the numbers 436, 392, 726, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.