GCD of 504, 297, 102 Calculator

Given Input numbers are 504, 297, 102

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

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

GCD of numbers is the greatest common divisor

So, the GCD (504, 297, 102) = 3.

Given numbers are 504, 297, 102

The list of prime factors of all numbers are

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 297 are 3 x 3 x 3 x 11

Prime factors of 102 are 2 x 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 504, 297, 102 is 3.

Given numbers are 504, 297, 102

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

Apply this formula for all numbers.

Step1:

LCM(504, 297) = 16632

GCD(504, 297) = ( 504 x 297 ) / 16632

= 504 / 297

= 504

Step2:

LCM(9, 102) = 306

GCD(9, 102) = ( 9 x 102 ) / 306

= 9 / 102

= 9

So, Greatest Common Divisor of 504, 297, 102 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 159, 111, 531
• GCD of 787, 309, 177
• GCD of 632, 750, 401
• GCD of 225, 736, 471
• GCD of 160, 537, 243

Given numbers are 504, 297, 102
The greatest common divisor of numbers 504, 297, 102 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 297, 102 is 3.

1. What is the GCD of 504, 297, 102?

GCD of given numbers 504, 297, 102 is 3

2. How to calculate the greatest common divisor of 504, 297, 102?

We can find the highest common divisor of 504, 297, 102 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 504, 297, 102 i.e 3.

3. How can I use the GCD of 504, 297, 102Calculator?

Out the numbers 504, 297, 102 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.