GCD of 648, 104, 705, 689 Calculator

Given Input numbers are 648, 104, 705, 689

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 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 705 :

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

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

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

GCD of numbers is the greatest common divisor

So, the GCD (648, 104, 705, 689) = 1.

Given numbers are 648, 104, 705, 689

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 104 are 2 x 2 x 2 x 13

Prime factors of 705 are 3 x 5 x 47

Prime factors of 689 are 13 x 53

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 648, 104, 705, 689

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

Apply this formula for all numbers.

Step1:

LCM(648, 104) = 8424

GCD(648, 104) = ( 648 x 104 ) / 8424

= 648 / 104

= 648

Step2:

LCM(8, 705) = 5640

GCD(8, 705) = ( 8 x 705 ) / 5640

= 8 / 705

= 8

Step3:

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

= 1 / 689

= 1

So, Greatest Common Divisor of 648, 104, 705, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 232, 824, 752, 542
• GCD of 838, 232, 245, 231
• GCD of 314, 100, 322, 613
• GCD of 655, 609, 158, 884
• GCD of 188, 736, 650, 512

Given numbers are 648, 104, 705, 689
The greatest common divisor of numbers 648, 104, 705, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 648, 104, 705, 689 is 1.

1. What is the GCD of 648, 104, 705, 689?

GCD of given numbers 648, 104, 705, 689 is 1

2. How to calculate the greatest common divisor of 648, 104, 705, 689?

We can find the highest common divisor of 648, 104, 705, 689 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, 104, 705, 689 i.e 1.

3. How can I use the GCD of 648, 104, 705, 689Calculator?

Out the numbers 648, 104, 705, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.