GCD of 814, 628, 728, 528 Calculator

Given Input numbers are 814, 628, 728, 528

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

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

GCD of numbers is the greatest common divisor

So, the GCD (814, 628, 728, 528) = 2.

Given numbers are 814, 628, 728, 528

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 628 are 2 x 2 x 157

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

The highest common occurrence is 2¹

Therefore, GCD of 814, 628, 728, 528 is 2.

Given numbers are 814, 628, 728, 528

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

Apply this formula for all numbers.

Step1:

LCM(814, 628) = 255596

GCD(814, 628) = ( 814 x 628 ) / 255596

= 814 / 628

= 814

Step2:

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

= 2 / 728

= 2

Step3:

LCM(2, 528) = 528

GCD(2, 528) = ( 2 x 528 ) / 528

= 2 / 528

= 2

So, Greatest Common Divisor of 814, 628, 728, 528 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 586, 583, 247, 826
• GCD of 836, 146, 178, 490
• GCD of 217, 732, 452, 599
• GCD of 711, 684, 179, 388
• GCD of 857, 879, 994, 426

Given numbers are 814, 628, 728, 528
The greatest common divisor of numbers 814, 628, 728, 528 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 628, 728, 528 is 2.

1. What is the GCD of 814, 628, 728, 528?

GCD of given numbers 814, 628, 728, 528 is 2

2. How to calculate the greatest common divisor of 814, 628, 728, 528?

We can find the highest common divisor of 814, 628, 728, 528 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 814, 628, 728, 528 i.e 2.

3. How can I use the GCD of 814, 628, 728, 528Calculator?

Out the numbers 814, 628, 728, 528 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.