GCD of 648, 705, 207, 888 Calculator

Given Input numbers are 648, 705, 207, 888

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 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 207 :

The positive integer divisors of 207 that completely divides 207 are.

1, 3, 9, 23, 69, 207

Divisors of 888 :

The positive integer divisors of 888 that completely divides 888 are.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

GCD of numbers is the greatest common divisor

So, the GCD (648, 705, 207, 888) = 3.

Given numbers are 648, 705, 207, 888

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 705 are 3 x 5 x 47

Prime factors of 207 are 3 x 3 x 23

Prime factors of 888 are 2 x 2 x 2 x 3 x 37

The highest common occurrence is 3¹

Therefore, GCD of 648, 705, 207, 888 is 3.

Given numbers are 648, 705, 207, 888

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

Apply this formula for all numbers.

Step1:

LCM(648, 705) = 152280

GCD(648, 705) = ( 648 x 705 ) / 152280

= 648 / 705

= 648

Step2:

LCM(3, 207) = 207

GCD(3, 207) = ( 3 x 207 ) / 207

= 3 / 207

= 3

Step3:

LCM(3, 888) = 888

GCD(3, 888) = ( 3 x 888 ) / 888

= 3 / 888

= 3

So, Greatest Common Divisor of 648, 705, 207, 888 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 177, 561, 239, 506
• GCD of 789, 139, 359, 857
• GCD of 529, 455, 622, 909
• GCD of 441, 987, 736, 668
• GCD of 569, 245, 555, 390

Given numbers are 648, 705, 207, 888
The greatest common divisor of numbers 648, 705, 207, 888 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 648, 705, 207, 888 is 3.

1. What is the GCD of 648, 705, 207, 888?

GCD of given numbers 648, 705, 207, 888 is 3

2. How to calculate the greatest common divisor of 648, 705, 207, 888?

We can find the highest common divisor of 648, 705, 207, 888 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, 705, 207, 888 i.e 3.

3. How can I use the GCD of 648, 705, 207, 888Calculator?

Out the numbers 648, 705, 207, 888 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.