GCD of 684, 474, 528 Calculator

Given Input numbers are 684, 474, 528

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

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

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 (684, 474, 528) = 6.

Given numbers are 684, 474, 528

The list of prime factors of all numbers are

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 474 are 2 x 3 x 79

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

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 684, 474, 528 is 6.

Given numbers are 684, 474, 528

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

Apply this formula for all numbers.

Step1:

LCM(684, 474) = 54036

GCD(684, 474) = ( 684 x 474 ) / 54036

= 684 / 474

= 684

Step2:

LCM(6, 528) = 528

GCD(6, 528) = ( 6 x 528 ) / 528

= 6 / 528

= 6

So, Greatest Common Divisor of 684, 474, 528 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 546, 281, 579
• GCD of 111, 801, 886
• GCD of 714, 432, 571
• GCD of 807, 775, 395
• GCD of 426, 819, 456

Given numbers are 684, 474, 528
The greatest common divisor of numbers 684, 474, 528 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 474, 528 is 6.

1. What is the GCD of 684, 474, 528?

GCD of given numbers 684, 474, 528 is 6

2. How to calculate the greatest common divisor of 684, 474, 528?

We can find the highest common divisor of 684, 474, 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 684, 474, 528 i.e 6.

3. How can I use the GCD of 684, 474, 528Calculator?

Out the numbers 684, 474, 528 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.