GCD of 648, 114, 621, 717 Calculator

Given Input numbers are 648, 114, 621, 717

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

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 621 :

The positive integer divisors of 621 that completely divides 621 are.

1, 3, 9, 23, 27, 69, 207, 621

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 (648, 114, 621, 717) = 3.

Given numbers are 648, 114, 621, 717

The list of prime factors of all numbers are

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 114 are 2 x 3 x 19

Prime factors of 621 are 3 x 3 x 3 x 23

Prime factors of 717 are 3 x 239

The highest common occurrence is 3¹

Therefore, GCD of 648, 114, 621, 717 is 3.

Given numbers are 648, 114, 621, 717

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

Apply this formula for all numbers.

Step1:

LCM(648, 114) = 12312

GCD(648, 114) = ( 648 x 114 ) / 12312

= 648 / 114

= 648

Step2:

LCM(6, 621) = 1242

GCD(6, 621) = ( 6 x 621 ) / 1242

= 6 / 621

= 6

Step3:

LCM(3, 717) = 717

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

= 3 / 717

= 3

So, Greatest Common Divisor of 648, 114, 621, 717 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 969, 849, 432, 247
• GCD of 922, 209, 517, 245
• GCD of 985, 667, 404, 339
• GCD of 308, 858, 338, 878
• GCD of 574, 899, 517, 678

Given numbers are 648, 114, 621, 717
The greatest common divisor of numbers 648, 114, 621, 717 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 648, 114, 621, 717 is 3.

1. What is the GCD of 648, 114, 621, 717?

GCD of given numbers 648, 114, 621, 717 is 3

2. How to calculate the greatest common divisor of 648, 114, 621, 717?

We can find the highest common divisor of 648, 114, 621, 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 648, 114, 621, 717 i.e 3.

3. How can I use the GCD of 648, 114, 621, 717Calculator?

Out the numbers 648, 114, 621, 717 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.