GCD of 504, 633, 60, 918 Calculator

Given Input numbers are 504, 633, 60, 918

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 633 :

The positive integer divisors of 633 that completely divides 633 are.

1, 3, 211, 633

Divisors of 60 :

The positive integer divisors of 60 that completely divides 60 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

GCD of numbers is the greatest common divisor

So, the GCD (504, 633, 60, 918) = 3.

Given numbers are 504, 633, 60, 918

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 633 are 3 x 211

Prime factors of 60 are 2 x 2 x 3 x 5

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 504, 633, 60, 918 is 3.

Given numbers are 504, 633, 60, 918

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

Apply this formula for all numbers.

Step1:

LCM(504, 633) = 106344

GCD(504, 633) = ( 504 x 633 ) / 106344

= 504 / 633

= 504

Step2:

LCM(3, 60) = 60

GCD(3, 60) = ( 3 x 60 ) / 60

= 3 / 60

= 3

Step3:

LCM(3, 918) = 918

GCD(3, 918) = ( 3 x 918 ) / 918

= 3 / 918

= 3

So, Greatest Common Divisor of 504, 633, 60, 918 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 682, 469, 85, 735
• GCD of 489, 321, 43, 971
• GCD of 204, 137, 54, 109
• GCD of 153, 779, 83, 450
• GCD of 812, 376, 89, 182

Given numbers are 504, 633, 60, 918
The greatest common divisor of numbers 504, 633, 60, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 633, 60, 918 is 3.

1. What is the GCD of 504, 633, 60, 918?

GCD of given numbers 504, 633, 60, 918 is 3

2. How to calculate the greatest common divisor of 504, 633, 60, 918?

We can find the highest common divisor of 504, 633, 60, 918 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, 633, 60, 918 i.e 3.

3. How can I use the GCD of 504, 633, 60, 918Calculator?

Out the numbers 504, 633, 60, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.