GCD of 504, 660, 908, 418 Calculator

Given Input numbers are 504, 660, 908, 418

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 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

Divisors of 418 :

The positive integer divisors of 418 that completely divides 418 are.

1, 2, 11, 19, 22, 38, 209, 418

GCD of numbers is the greatest common divisor

So, the GCD (504, 660, 908, 418) = 2.

Given numbers are 504, 660, 908, 418

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 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 908 are 2 x 2 x 227

Prime factors of 418 are 2 x 11 x 19

The highest common occurrence is 2¹

Therefore, GCD of 504, 660, 908, 418 is 2.

Given numbers are 504, 660, 908, 418

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

Apply this formula for all numbers.

Step1:

LCM(504, 660) = 27720

GCD(504, 660) = ( 504 x 660 ) / 27720

= 504 / 660

= 504

Step2:

LCM(12, 908) = 2724

GCD(12, 908) = ( 12 x 908 ) / 2724

= 12 / 908

= 12

Step3:

LCM(4, 418) = 836

GCD(4, 418) = ( 4 x 418 ) / 836

= 4 / 418

= 4

So, Greatest Common Divisor of 504, 660, 908, 418 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 807, 137, 783, 359
• GCD of 567, 454, 656, 282
• GCD of 399, 410, 543, 950
• GCD of 109, 737, 123, 476
• GCD of 207, 126, 248, 984

Given numbers are 504, 660, 908, 418
The greatest common divisor of numbers 504, 660, 908, 418 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 660, 908, 418 is 2.

1. What is the GCD of 504, 660, 908, 418?

GCD of given numbers 504, 660, 908, 418 is 2

2. How to calculate the greatest common divisor of 504, 660, 908, 418?

We can find the highest common divisor of 504, 660, 908, 418 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, 660, 908, 418 i.e 2.

3. How can I use the GCD of 504, 660, 908, 418Calculator?

Out the numbers 504, 660, 908, 418 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.