GCD of 135, 648, 680, 105 Calculator

Given Input numbers are 135, 648, 680, 105

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

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

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 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

GCD of numbers is the greatest common divisor

So, the GCD (135, 648, 680, 105) = 1.

Given numbers are 135, 648, 680, 105

The list of prime factors of all numbers are

Prime factors of 135 are 3 x 3 x 3 x 5

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

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 105 are 3 x 5 x 7

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

Given numbers are 135, 648, 680, 105

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

Apply this formula for all numbers.

Step1:

LCM(135, 648) = 3240

GCD(135, 648) = ( 135 x 648 ) / 3240

= 135 / 648

= 135

Step2:

LCM(27, 680) = 18360

GCD(27, 680) = ( 27 x 680 ) / 18360

= 27 / 680

= 27

Step3:

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

= 1 / 105

= 1

So, Greatest Common Divisor of 135, 648, 680, 105 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 857, 844, 300, 810
• GCD of 559, 450, 619, 363
• GCD of 661, 998, 128, 616
• GCD of 582, 548, 555, 850
• GCD of 423, 777, 440, 528

Given numbers are 135, 648, 680, 105
The greatest common divisor of numbers 135, 648, 680, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 648, 680, 105 is 1.

1. What is the GCD of 135, 648, 680, 105?

GCD of given numbers 135, 648, 680, 105 is 1

2. How to calculate the greatest common divisor of 135, 648, 680, 105?

We can find the highest common divisor of 135, 648, 680, 105 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 135, 648, 680, 105 i.e 1.

3. How can I use the GCD of 135, 648, 680, 105Calculator?

Out the numbers 135, 648, 680, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.