GCD of 504, 759, 678, 717 Calculator

Given Input numbers are 504, 759, 678, 717

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 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 717 :

The positive integer divisors of 717 that completely divides 717 are.

1, 3, 239, 717

GCD of numbers is the greatest common divisor

So, the GCD (504, 759, 678, 717) = 3.

Given numbers are 504, 759, 678, 717

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 759 are 3 x 11 x 23

Prime factors of 678 are 2 x 3 x 113

Prime factors of 717 are 3 x 239

The highest common occurrence is 3¹

Therefore, GCD of 504, 759, 678, 717 is 3.

Given numbers are 504, 759, 678, 717

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

Apply this formula for all numbers.

Step1:

LCM(504, 759) = 127512

GCD(504, 759) = ( 504 x 759 ) / 127512

= 504 / 759

= 504

Step2:

LCM(3, 678) = 678

GCD(3, 678) = ( 3 x 678 ) / 678

= 3 / 678

= 3

Step3:

LCM(3, 717) = 717

GCD(3, 717) = ( 3 x 717 ) / 717

= 3 / 717

= 3

So, Greatest Common Divisor of 504, 759, 678, 717 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 765, 549, 708, 149
• GCD of 734, 823, 819, 998
• GCD of 311, 270, 896, 867
• GCD of 254, 907, 438, 596
• GCD of 868, 292, 158, 846

Given numbers are 504, 759, 678, 717
The greatest common divisor of numbers 504, 759, 678, 717 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 759, 678, 717 is 3.

1. What is the GCD of 504, 759, 678, 717?

GCD of given numbers 504, 759, 678, 717 is 3

2. How to calculate the greatest common divisor of 504, 759, 678, 717?

We can find the highest common divisor of 504, 759, 678, 717 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, 759, 678, 717 i.e 3.

3. How can I use the GCD of 504, 759, 678, 717Calculator?

Out the numbers 504, 759, 678, 717 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.