GCD of 504, 777, 441 Calculator

Given Input numbers are 504, 777, 441

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 777 :

The positive integer divisors of 777 that completely divides 777 are.

1, 3, 7, 21, 37, 111, 259, 777

Divisors of 441 :

The positive integer divisors of 441 that completely divides 441 are.

1, 3, 7, 9, 21, 49, 63, 147, 441

GCD of numbers is the greatest common divisor

So, the GCD (504, 777, 441) = 21.

Given numbers are 504, 777, 441

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 777 are 3 x 7 x 37

Prime factors of 441 are 3 x 3 x 7 x 7

The highest common occurrence is 3¹ x 7¹

Therefore, GCD of 504, 777, 441 is 21.

Given numbers are 504, 777, 441

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

Apply this formula for all numbers.

Step1:

LCM(504, 777) = 18648

GCD(504, 777) = ( 504 x 777 ) / 18648

= 504 / 777

= 504

Step2:

LCM(21, 441) = 441

GCD(21, 441) = ( 21 x 441 ) / 441

= 21 / 441

= 21

So, Greatest Common Divisor of 504, 777, 441 is 21

Here are some samples of GCD of Numbers calculations.

• GCD of 106, 603, 247
• GCD of 948, 266, 980
• GCD of 465, 117, 197
• GCD of 489, 934, 570
• GCD of 172, 929, 313

Given numbers are 504, 777, 441
The greatest common divisor of numbers 504, 777, 441 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 777, 441 is 21.

1. What is the GCD of 504, 777, 441?

GCD of given numbers 504, 777, 441 is 21

2. How to calculate the greatest common divisor of 504, 777, 441?

We can find the highest common divisor of 504, 777, 441 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, 777, 441 i.e 21.

3. How can I use the GCD of 504, 777, 441Calculator?

Out the numbers 504, 777, 441 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.