GCD of 135, 770, 110, 864 Calculator

Given Input numbers are 135, 770, 110, 864

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 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 110 :

The positive integer divisors of 110 that completely divides 110 are.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

GCD of numbers is the greatest common divisor

So, the GCD (135, 770, 110, 864) = 1.

Given numbers are 135, 770, 110, 864

The list of prime factors of all numbers are

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

Prime factors of 770 are 2 x 5 x 7 x 11

Prime factors of 110 are 2 x 5 x 11

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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

Given numbers are 135, 770, 110, 864

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

Apply this formula for all numbers.

Step1:

LCM(135, 770) = 20790

GCD(135, 770) = ( 135 x 770 ) / 20790

= 135 / 770

= 135

Step2:

LCM(5, 110) = 110

GCD(5, 110) = ( 5 x 110 ) / 110

= 5 / 110

= 5

Step3:

LCM(5, 864) = 4320

GCD(5, 864) = ( 5 x 864 ) / 4320

= 5 / 864

= 5

So, Greatest Common Divisor of 135, 770, 110, 864 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 116, 831, 336, 468
• GCD of 956, 327, 175, 875
• GCD of 736, 863, 320, 510
• GCD of 870, 347, 991, 999
• GCD of 815, 508, 801, 996

Given numbers are 135, 770, 110, 864
The greatest common divisor of numbers 135, 770, 110, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 770, 110, 864 is 1.

1. What is the GCD of 135, 770, 110, 864?

GCD of given numbers 135, 770, 110, 864 is 1

2. How to calculate the greatest common divisor of 135, 770, 110, 864?

We can find the highest common divisor of 135, 770, 110, 864 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, 770, 110, 864 i.e 1.

3. How can I use the GCD of 135, 770, 110, 864Calculator?

Out the numbers 135, 770, 110, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.