GCD of 214, 209, 110, 135 Calculator

Given Input numbers are 214, 209, 110, 135

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

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

Divisors of 110 :

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

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

Divisors of 135 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (214, 209, 110, 135) = 1.

Given numbers are 214, 209, 110, 135

The list of prime factors of all numbers are

Prime factors of 214 are 2 x 107

Prime factors of 209 are 11 x 19

Prime factors of 110 are 2 x 5 x 11

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

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

Given numbers are 214, 209, 110, 135

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

Apply this formula for all numbers.

Step1:

LCM(214, 209) = 44726

GCD(214, 209) = ( 214 x 209 ) / 44726

= 214 / 209

= 214

Step2:

LCM(1, 110) = 110

GCD(1, 110) = ( 1 x 110 ) / 110

= 1 / 110

= 1

Step3:

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

= 1 / 135

= 1

So, Greatest Common Divisor of 214, 209, 110, 135 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 215, 485, 111, 896
• GCD of 393, 756, 598, 162
• GCD of 738, 624, 574, 534
• GCD of 324, 378, 800, 896
• GCD of 623, 309, 993, 488

Given numbers are 214, 209, 110, 135
The greatest common divisor of numbers 214, 209, 110, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 214, 209, 110, 135 is 1.

1. What is the GCD of 214, 209, 110, 135?

GCD of given numbers 214, 209, 110, 135 is 1

2. How to calculate the greatest common divisor of 214, 209, 110, 135?

We can find the highest common divisor of 214, 209, 110, 135 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 214, 209, 110, 135 i.e 1.

3. How can I use the GCD of 214, 209, 110, 135Calculator?

Out the numbers 214, 209, 110, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.